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Finding the Fourth Proportional to 13,691.27, 20,539.02 and 5,793.83

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Solution

The fourth proportional to 13,691.27, 20,539.02 and 5,793.83 is: 8,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.27 : 20,539.02 = 5,793.83 : x
  2. Step 2: Convert to fraction form
    13,691.27/20,539.02 = 5,793.83/x
  3. Step 3: Cross multiply
    13,691.27x = 20,539.02 × 5,793.83
  4. Step 4: Simplify right side
    13,691.27x = 118,999,553.71
  5. Step 5: Solve for x
    x = 118,999,553.71/13,691.27
  6. Step 6: Final answer
    x = 8,691.64

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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.