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Finding the Fourth Proportional to 13,815.92, 20,724.10 and 7,254.92

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Solution

The fourth proportional to 13,815.92, 20,724.10 and 7,254.92 is: 10,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.92 : 20,724.10 = 7,254.92 : x
  2. Step 2: Convert to fraction form
    13,815.92/20,724.10 = 7,254.92/x
  3. Step 3: Cross multiply
    13,815.92x = 20,724.10 × 7,254.92
  4. Step 4: Simplify right side
    13,815.92x = 150,351,645.48
  5. Step 5: Solve for x
    x = 150,351,645.48/13,815.92
  6. Step 6: Final answer
    x = 10,882.49

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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.