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Finding the Fourth Proportional to 17,761.28, 24,509.52 and 10,202.29

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Solution

The fourth proportional to 17,761.28, 24,509.52 and 10,202.29 is: 14,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.28 : 24,509.52 = 10,202.29 : x
  2. Step 2: Convert to fraction form
    17,761.28/24,509.52 = 10,202.29/x
  3. Step 3: Cross multiply
    17,761.28x = 24,509.52 × 10,202.29
  4. Step 4: Simplify right side
    17,761.28x = 250,053,169.53
  5. Step 5: Solve for x
    x = 250,053,169.53/17,761.28
  6. Step 6: Final answer
    x = 14,078.56

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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.