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Finding the Fourth Proportional to 20,542.14, 30,813.21 and 8,238.78

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Solution

The fourth proportional to 20,542.14, 30,813.21 and 8,238.78 is: 12,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.14 : 30,813.21 = 8,238.78 : x
  2. Step 2: Convert to fraction form
    20,542.14/30,813.21 = 8,238.78/x
  3. Step 3: Cross multiply
    20,542.14x = 30,813.21 × 8,238.78
  4. Step 4: Simplify right side
    20,542.14x = 253,863,258.28
  5. Step 5: Solve for x
    x = 253,863,258.28/20,542.14
  6. Step 6: Final answer
    x = 12,358.17

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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.