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Finding the Fourth Proportional to 17,461.73, 24,080.43 and 11,732.14

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Solution

The fourth proportional to 17,461.73, 24,080.43 and 11,732.14 is: 16,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.73 : 24,080.43 = 11,732.14 : x
  2. Step 2: Convert to fraction form
    17,461.73/24,080.43 = 11,732.14/x
  3. Step 3: Cross multiply
    17,461.73x = 24,080.43 × 11,732.14
  4. Step 4: Simplify right side
    17,461.73x = 282,514,915.82
  5. Step 5: Solve for x
    x = 282,514,915.82/17,461.73
  6. Step 6: Final answer
    x = 16,179.10

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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.