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Finding the Fourth Proportional to 13,517.62, 18,654.23 and 7,549.27

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Solution

The fourth proportional to 13,517.62, 18,654.23 and 7,549.27 is: 10,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.62 : 18,654.23 = 7,549.27 : x
  2. Step 2: Convert to fraction form
    13,517.62/18,654.23 = 7,549.27/x
  3. Step 3: Cross multiply
    13,517.62x = 18,654.23 × 7,549.27
  4. Step 4: Simplify right side
    13,517.62x = 140,825,791.15
  5. Step 5: Solve for x
    x = 140,825,791.15/13,517.62
  6. Step 6: Final answer
    x = 10,417.94

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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.