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Finding the Fourth Proportional to 24,508.71, 36,757.60 and 9,713.66

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Solution

The fourth proportional to 24,508.71, 36,757.60 and 9,713.66 is: 14,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.71 : 36,757.60 = 9,713.66 : x
  2. Step 2: Convert to fraction form
    24,508.71/36,757.60 = 9,713.66/x
  3. Step 3: Cross multiply
    24,508.71x = 36,757.60 × 9,713.66
  4. Step 4: Simplify right side
    24,508.71x = 357,050,620.74
  5. Step 5: Solve for x
    x = 357,050,620.74/24,508.71
  6. Step 6: Final answer
    x = 14,568.32

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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.