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Finding the Fourth Proportional to 17,414.33, 24,031.71 and 9,861.19

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Solution

The fourth proportional to 17,414.33, 24,031.71 and 9,861.19 is: 13,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.33 : 24,031.71 = 9,861.19 : x
  2. Step 2: Convert to fraction form
    17,414.33/24,031.71 = 9,861.19/x
  3. Step 3: Cross multiply
    17,414.33x = 24,031.71 × 9,861.19
  4. Step 4: Simplify right side
    17,414.33x = 236,981,198.26
  5. Step 5: Solve for x
    x = 236,981,198.26/17,414.33
  6. Step 6: Final answer
    x = 13,608.40

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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.