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Finding the Fourth Proportional to 13,650.97, 20,472.76 and 5,857.96

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Solution

The fourth proportional to 13,650.97, 20,472.76 and 5,857.96 is: 8,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.97 : 20,472.76 = 5,857.96 : x
  2. Step 2: Convert to fraction form
    13,650.97/20,472.76 = 5,857.96/x
  3. Step 3: Cross multiply
    13,650.97x = 20,472.76 × 5,857.96
  4. Step 4: Simplify right side
    13,650.97x = 119,928,609.17
  5. Step 5: Solve for x
    x = 119,928,609.17/13,650.97
  6. Step 6: Final answer
    x = 8,785.35

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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.