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Finding the Fourth Proportional to 15,138.97, 22,711.17 and 6,254.30

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Solution

The fourth proportional to 15,138.97, 22,711.17 and 6,254.30 is: 9,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.97 : 22,711.17 = 6,254.30 : x
  2. Step 2: Convert to fraction form
    15,138.97/22,711.17 = 6,254.30/x
  3. Step 3: Cross multiply
    15,138.97x = 22,711.17 × 6,254.30
  4. Step 4: Simplify right side
    15,138.97x = 142,042,470.53
  5. Step 5: Solve for x
    x = 142,042,470.53/15,138.97
  6. Step 6: Final answer
    x = 9,382.57

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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.