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Finding the Fourth Proportional to 12,542.31, 18,811.71 and 8,782.68

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Solution

The fourth proportional to 12,542.31, 18,811.71 and 8,782.68 is: 13,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.31 : 18,811.71 = 8,782.68 : x
  2. Step 2: Convert to fraction form
    12,542.31/18,811.71 = 8,782.68/x
  3. Step 3: Cross multiply
    12,542.31x = 18,811.71 × 8,782.68
  4. Step 4: Simplify right side
    12,542.31x = 165,217,229.18
  5. Step 5: Solve for x
    x = 165,217,229.18/12,542.31
  6. Step 6: Final answer
    x = 13,172.79

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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.