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Finding the Fourth Proportional to 17,514.89, 24,171.13 and 9,557.55

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Solution

The fourth proportional to 17,514.89, 24,171.13 and 9,557.55 is: 13,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.89 : 24,171.13 = 9,557.55 : x
  2. Step 2: Convert to fraction form
    17,514.89/24,171.13 = 9,557.55/x
  3. Step 3: Cross multiply
    17,514.89x = 24,171.13 × 9,557.55
  4. Step 4: Simplify right side
    17,514.89x = 231,016,727.89
  5. Step 5: Solve for x
    x = 231,016,727.89/17,514.89
  6. Step 6: Final answer
    x = 13,189.74

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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.