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Finding the Fourth Proportional to 15,489.86, 21,377.13 and 9,116.78

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Solution

The fourth proportional to 15,489.86, 21,377.13 and 9,116.78 is: 12,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.86 : 21,377.13 = 9,116.78 : x
  2. Step 2: Convert to fraction form
    15,489.86/21,377.13 = 9,116.78/x
  3. Step 3: Cross multiply
    15,489.86x = 21,377.13 × 9,116.78
  4. Step 4: Simplify right side
    15,489.86x = 194,890,591.24
  5. Step 5: Solve for x
    x = 194,890,591.24/15,489.86
  6. Step 6: Final answer
    x = 12,581.82

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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.