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Finding the Fourth Proportional to 13,841.38, 20,735.31 and 11,593.52

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Solution

The fourth proportional to 13,841.38, 20,735.31 and 11,593.52 is: 17,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.38 : 20,735.31 = 11,593.52 : x
  2. Step 2: Convert to fraction form
    13,841.38/20,735.31 = 11,593.52/x
  3. Step 3: Cross multiply
    13,841.38x = 20,735.31 × 11,593.52
  4. Step 4: Simplify right side
    13,841.38x = 240,395,231.19
  5. Step 5: Solve for x
    x = 240,395,231.19/13,841.38
  6. Step 6: Final answer
    x = 17,367.87

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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.