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Finding the Fourth Proportional to 13,517.56, 18,654.19 and 7,549.21

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Solution

The fourth proportional to 13,517.56, 18,654.19 and 7,549.21 is: 10,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.56 : 18,654.19 = 7,549.21 : x
  2. Step 2: Convert to fraction form
    13,517.56/18,654.19 = 7,549.21/x
  3. Step 3: Cross multiply
    13,517.56x = 18,654.19 × 7,549.21
  4. Step 4: Simplify right side
    13,517.56x = 140,824,397.69
  5. Step 5: Solve for x
    x = 140,824,397.69/13,517.56
  6. Step 6: Final answer
    x = 10,417.89

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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.