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Finding the Fourth Proportional to 17,542.57, 24,200.62 and 10,086.25

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Solution

The fourth proportional to 17,542.57, 24,200.62 and 10,086.25 is: 13,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.57 : 24,200.62 = 10,086.25 : x
  2. Step 2: Convert to fraction form
    17,542.57/24,200.62 = 10,086.25/x
  3. Step 3: Cross multiply
    17,542.57x = 24,200.62 × 10,086.25
  4. Step 4: Simplify right side
    17,542.57x = 244,093,503.48
  5. Step 5: Solve for x
    x = 244,093,503.48/17,542.57
  6. Step 6: Final answer
    x = 13,914.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.