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Finding the Fourth Proportional to 24,515.80, 36,755.70 and 9,717.40

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Solution

The fourth proportional to 24,515.80, 36,755.70 and 9,717.40 is: 14,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.80 : 36,755.70 = 9,717.40 : x
  2. Step 2: Convert to fraction form
    24,515.80/36,755.70 = 9,717.40/x
  3. Step 3: Cross multiply
    24,515.80x = 36,755.70 × 9,717.40
  4. Step 4: Simplify right side
    24,515.80x = 357,169,839.18
  5. Step 5: Solve for x
    x = 357,169,839.18/24,515.80
  6. Step 6: Final answer
    x = 14,568.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.