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Finding the Fourth Proportional to 13,400.20, 20,078.70 and 11,542.60

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Solution

The fourth proportional to 13,400.20, 20,078.70 and 11,542.60 is: 17,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.20 : 20,078.70 = 11,542.60 : x
  2. Step 2: Convert to fraction form
    13,400.20/20,078.70 = 11,542.60/x
  3. Step 3: Cross multiply
    13,400.20x = 20,078.70 × 11,542.60
  4. Step 4: Simplify right side
    13,400.20x = 231,760,402.62
  5. Step 5: Solve for x
    x = 231,760,402.62/13,400.20
  6. Step 6: Final answer
    x = 17,295.29

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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.