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Finding the Fourth Proportional to 13,481.27, 20,221.29 and 5,165.20

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Solution

The fourth proportional to 13,481.27, 20,221.29 and 5,165.20 is: 7,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.27 : 20,221.29 = 5,165.20 : x
  2. Step 2: Convert to fraction form
    13,481.27/20,221.29 = 5,165.20/x
  3. Step 3: Cross multiply
    13,481.27x = 20,221.29 × 5,165.20
  4. Step 4: Simplify right side
    13,481.27x = 104,447,007.11
  5. Step 5: Solve for x
    x = 104,447,007.11/13,481.27
  6. Step 6: Final answer
    x = 7,747.56

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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.