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Finding the Fourth Proportional to 13,793.86, 20,687.67 and 3,932.92

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Solution

The fourth proportional to 13,793.86, 20,687.67 and 3,932.92 is: 5,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.86 : 20,687.67 = 3,932.92 : x
  2. Step 2: Convert to fraction form
    13,793.86/20,687.67 = 3,932.92/x
  3. Step 3: Cross multiply
    13,793.86x = 20,687.67 × 3,932.92
  4. Step 4: Simplify right side
    13,793.86x = 81,362,951.10
  5. Step 5: Solve for x
    x = 81,362,951.10/13,793.86
  6. Step 6: Final answer
    x = 5,898.49

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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.