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Finding the Fourth Proportional to 13,662.18, 20,505.42 and 7,092.90

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Solution

The fourth proportional to 13,662.18, 20,505.42 and 7,092.90 is: 10,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.18 : 20,505.42 = 7,092.90 : x
  2. Step 2: Convert to fraction form
    13,662.18/20,505.42 = 7,092.90/x
  3. Step 3: Cross multiply
    13,662.18x = 20,505.42 × 7,092.90
  4. Step 4: Simplify right side
    13,662.18x = 145,442,893.52
  5. Step 5: Solve for x
    x = 145,442,893.52/13,662.18
  6. Step 6: Final answer
    x = 10,645.66

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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.