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Finding the Fourth Proportional to 13,642.43, 20,464.25 and 5,321.70

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Solution

The fourth proportional to 13,642.43, 20,464.25 and 5,321.70 is: 7,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.43 : 20,464.25 = 5,321.70 : x
  2. Step 2: Convert to fraction form
    13,642.43/20,464.25 = 5,321.70/x
  3. Step 3: Cross multiply
    13,642.43x = 20,464.25 × 5,321.70
  4. Step 4: Simplify right side
    13,642.43x = 108,904,572.62
  5. Step 5: Solve for x
    x = 108,904,572.62/13,642.43
  6. Step 6: Final answer
    x = 7,982.79

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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.