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Finding the Fourth Proportional to 13,866.38, 20,794.68 and 6,469.46

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Solution

The fourth proportional to 13,866.38, 20,794.68 and 6,469.46 is: 9,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.38 : 20,794.68 = 6,469.46 : x
  2. Step 2: Convert to fraction form
    13,866.38/20,794.68 = 6,469.46/x
  3. Step 3: Cross multiply
    13,866.38x = 20,794.68 × 6,469.46
  4. Step 4: Simplify right side
    13,866.38x = 134,530,350.47
  5. Step 5: Solve for x
    x = 134,530,350.47/13,866.38
  6. Step 6: Final answer
    x = 9,701.91

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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.