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Finding the Fourth Proportional to 12,542.68, 18,799.80 and 5,143.03

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Solution

The fourth proportional to 12,542.68, 18,799.80 and 5,143.03 is: 7,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.68 : 18,799.80 = 5,143.03 : x
  2. Step 2: Convert to fraction form
    12,542.68/18,799.80 = 5,143.03/x
  3. Step 3: Cross multiply
    12,542.68x = 18,799.80 × 5,143.03
  4. Step 4: Simplify right side
    12,542.68x = 96,687,869.11
  5. Step 5: Solve for x
    x = 96,687,869.11/12,542.68
  6. Step 6: Final answer
    x = 7,708.71

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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.