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Finding the Fourth Proportional to 13,542.92, 20,317.85 and 5,220.71

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Solution

The fourth proportional to 13,542.92, 20,317.85 and 5,220.71 is: 7,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.92 : 20,317.85 = 5,220.71 : x
  2. Step 2: Convert to fraction form
    13,542.92/20,317.85 = 5,220.71/x
  3. Step 3: Cross multiply
    13,542.92x = 20,317.85 × 5,220.71
  4. Step 4: Simplify right side
    13,542.92x = 106,073,474.98
  5. Step 5: Solve for x
    x = 106,073,474.98/13,542.92
  6. Step 6: Final answer
    x = 7,832.39

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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.