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Finding the Fourth Proportional to 17,668.31, 24,382.17 and 10,114.61

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Solution

The fourth proportional to 17,668.31, 24,382.17 and 10,114.61 is: 13,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.31 : 24,382.17 = 10,114.61 : x
  2. Step 2: Convert to fraction form
    17,668.31/24,382.17 = 10,114.61/x
  3. Step 3: Cross multiply
    17,668.31x = 24,382.17 × 10,114.61
  4. Step 4: Simplify right side
    17,668.31x = 246,616,018.59
  5. Step 5: Solve for x
    x = 246,616,018.59/17,668.31
  6. Step 6: Final answer
    x = 13,958.10

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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.