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Finding the Fourth Proportional to 17,211.92, 23,753.88 and 9,658.16

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Solution

The fourth proportional to 17,211.92, 23,753.88 and 9,658.16 is: 13,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.92 : 23,753.88 = 9,658.16 : x
  2. Step 2: Convert to fraction form
    17,211.92/23,753.88 = 9,658.16/x
  3. Step 3: Cross multiply
    17,211.92x = 23,753.88 × 9,658.16
  4. Step 4: Simplify right side
    17,211.92x = 229,418,773.66
  5. Step 5: Solve for x
    x = 229,418,773.66/17,211.92
  6. Step 6: Final answer
    x = 13,329.06

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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.