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Finding the Fourth Proportional to 12,502.54, 18,737.41 and 9,200.17

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Solution

The fourth proportional to 12,502.54, 18,737.41 and 9,200.17 is: 13,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.54 : 18,737.41 = 9,200.17 : x
  2. Step 2: Convert to fraction form
    12,502.54/18,737.41 = 9,200.17/x
  3. Step 3: Cross multiply
    12,502.54x = 18,737.41 × 9,200.17
  4. Step 4: Simplify right side
    12,502.54x = 172,387,357.36
  5. Step 5: Solve for x
    x = 172,387,357.36/12,502.54
  6. Step 6: Final answer
    x = 13,788.19

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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.