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Finding the Fourth Proportional to 13,793.20, 20,691.84 and 6,398.40

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Solution

The fourth proportional to 13,793.20, 20,691.84 and 6,398.40 is: 9,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.20 : 20,691.84 = 6,398.40 : x
  2. Step 2: Convert to fraction form
    13,793.20/20,691.84 = 6,398.40/x
  3. Step 3: Cross multiply
    13,793.20x = 20,691.84 × 6,398.40
  4. Step 4: Simplify right side
    13,793.20x = 132,394,770.64
  5. Step 5: Solve for x
    x = 132,394,770.64/13,793.20
  6. Step 6: Final answer
    x = 9,598.56

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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.