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Finding the Fourth Proportional to 13,743.66, 20,588.96 and 8,201.44

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Solution

The fourth proportional to 13,743.66, 20,588.96 and 8,201.44 is: 12,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.66 : 20,588.96 = 8,201.44 : x
  2. Step 2: Convert to fraction form
    13,743.66/20,588.96 = 8,201.44/x
  3. Step 3: Cross multiply
    13,743.66x = 20,588.96 × 8,201.44
  4. Step 4: Simplify right side
    13,743.66x = 168,859,120.10
  5. Step 5: Solve for x
    x = 168,859,120.10/13,743.66
  6. Step 6: Final answer
    x = 12,286.33

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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.