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Finding the Fourth Proportional to 17,489.68, 24,135.76 and 9,531.90

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Solution

The fourth proportional to 17,489.68, 24,135.76 and 9,531.90 is: 13,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.68 : 24,135.76 = 9,531.90 : x
  2. Step 2: Convert to fraction form
    17,489.68/24,135.76 = 9,531.90/x
  3. Step 3: Cross multiply
    17,489.68x = 24,135.76 × 9,531.90
  4. Step 4: Simplify right side
    17,489.68x = 230,059,650.74
  5. Step 5: Solve for x
    x = 230,059,650.74/17,489.68
  6. Step 6: Final answer
    x = 13,154.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.