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Finding the Fourth Proportional to 13,592.92, 20,395.62 and 8,057.24

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Solution

The fourth proportional to 13,592.92, 20,395.62 and 8,057.24 is: 12,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.92 : 20,395.62 = 8,057.24 : x
  2. Step 2: Convert to fraction form
    13,592.92/20,395.62 = 8,057.24/x
  3. Step 3: Cross multiply
    13,592.92x = 20,395.62 × 8,057.24
  4. Step 4: Simplify right side
    13,592.92x = 164,332,405.29
  5. Step 5: Solve for x
    x = 164,332,405.29/13,592.92
  6. Step 6: Final answer
    x = 12,089.56

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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.