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Finding the Fourth Proportional to 13,481.92, 20,222.14 and 5,165.92

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Solution

The fourth proportional to 13,481.92, 20,222.14 and 5,165.92 is: 7,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.92 : 20,222.14 = 5,165.92 : x
  2. Step 2: Convert to fraction form
    13,481.92/20,222.14 = 5,165.92/x
  3. Step 3: Cross multiply
    13,481.92x = 20,222.14 × 5,165.92
  4. Step 4: Simplify right side
    13,481.92x = 104,465,957.47
  5. Step 5: Solve for x
    x = 104,465,957.47/13,481.92
  6. Step 6: Final answer
    x = 7,748.60

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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.