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Finding the Fourth Proportional to 17,758.31, 24,506.36 and 9,691.97

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Solution

The fourth proportional to 17,758.31, 24,506.36 and 9,691.97 is: 13,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.31 : 24,506.36 = 9,691.97 : x
  2. Step 2: Convert to fraction form
    17,758.31/24,506.36 = 9,691.97/x
  3. Step 3: Cross multiply
    17,758.31x = 24,506.36 × 9,691.97
  4. Step 4: Simplify right side
    17,758.31x = 237,514,734.94
  5. Step 5: Solve for x
    x = 237,514,734.94/17,758.31
  6. Step 6: Final answer
    x = 13,374.85

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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.