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Finding the Fourth Proportional to 17,481.72, 24,124.20 and 9,523.84

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Solution

The fourth proportional to 17,481.72, 24,124.20 and 9,523.84 is: 13,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,481.72 : 24,124.20 = 9,523.84 : x
  2. Step 2: Convert to fraction form
    17,481.72/24,124.20 = 9,523.84/x
  3. Step 3: Cross multiply
    17,481.72x = 24,124.20 × 9,523.84
  4. Step 4: Simplify right side
    17,481.72x = 229,755,020.93
  5. Step 5: Solve for x
    x = 229,755,020.93/17,481.72
  6. Step 6: Final answer
    x = 13,142.59

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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.