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Finding the Fourth Proportional to 13,660.38, 20,480.18 and 5,765.31

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Solution

The fourth proportional to 13,660.38, 20,480.18 and 5,765.31 is: 8,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.38 : 20,480.18 = 5,765.31 : x
  2. Step 2: Convert to fraction form
    13,660.38/20,480.18 = 5,765.31/x
  3. Step 3: Cross multiply
    13,660.38x = 20,480.18 × 5,765.31
  4. Step 4: Simplify right side
    13,660.38x = 118,074,557.73
  5. Step 5: Solve for x
    x = 118,074,557.73/13,660.38
  6. Step 6: Final answer
    x = 8,643.58

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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.