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Are the following numbers in proportion?...

Are the following numbers in proportion?
15,20,25,30.

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To determine if the numbers 15, 20, 25, and 30 are in proportion, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Numbers**: We have four numbers: A = 15, B = 20, C = 25, D = 30. 2. **Set Up the Proportion**: To check if these numbers are in proportion, we need to compare the ratios A/B and C/D. 3. **Calculate the First Ratio (A/B)**: \[ \frac{A}{B} = \frac{15}{20} \] To simplify this fraction, we can divide both the numerator and the denominator by 5: \[ \frac{15 \div 5}{20 \div 5} = \frac{3}{4} \] 4. **Calculate the Second Ratio (C/D)**: \[ \frac{C}{D} = \frac{25}{30} \] Similarly, we simplify this fraction by dividing both the numerator and the denominator by 5: \[ \frac{25 \div 5}{30 \div 5} = \frac{5}{6} \] 5. **Compare the Two Ratios**: Now we have: - First Ratio: \( \frac{3}{4} \) - Second Ratio: \( \frac{5}{6} \) Since \( \frac{3}{4} \) is not equal to \( \frac{5}{6} \), we conclude that the numbers are not in proportion. 6. **Final Conclusion**: Therefore, the answer is **No, the numbers 15, 20, 25, and 30 are not in proportion**.
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