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Finding the Fourth Proportional to 12,531.96, 18,801.18 and 6,687

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Solution

The fourth proportional to 12,531.96, 18,801.18 and 6,687 is: 10,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.96 : 18,801.18 = 6,687 : x
  2. Step 2: Convert to fraction form
    12,531.96/18,801.18 = 6,687/x
  3. Step 3: Cross multiply
    12,531.96x = 18,801.18 × 6,687
  4. Step 4: Simplify right side
    12,531.96x = 125,723,490.66
  5. Step 5: Solve for x
    x = 125,723,490.66/12,531.96
  6. Step 6: Final answer
    x = 10,032.23

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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.