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Finding the Fourth Proportional to 15,712.31, 21,683.42 and 8,542.71

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Solution

The fourth proportional to 15,712.31, 21,683.42 and 8,542.71 is: 11,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.31 : 21,683.42 = 8,542.71 : x
  2. Step 2: Convert to fraction form
    15,712.31/21,683.42 = 8,542.71/x
  3. Step 3: Cross multiply
    15,712.31x = 21,683.42 × 8,542.71
  4. Step 4: Simplify right side
    15,712.31x = 185,235,197.62
  5. Step 5: Solve for x
    x = 185,235,197.62/15,712.31
  6. Step 6: Final answer
    x = 11,789.17

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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.