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Finding the Fourth Proportional to 11,644.24, 17,456.04 and 8,349.04

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Solution

The fourth proportional to 11,644.24, 17,456.04 and 8,349.04 is: 12,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.24 : 17,456.04 = 8,349.04 : x
  2. Step 2: Convert to fraction form
    11,644.24/17,456.04 = 8,349.04/x
  3. Step 3: Cross multiply
    11,644.24x = 17,456.04 × 8,349.04
  4. Step 4: Simplify right side
    11,644.24x = 145,741,176.20
  5. Step 5: Solve for x
    x = 145,741,176.20/11,644.24
  6. Step 6: Final answer
    x = 12,516.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.