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Finding the Fourth Proportional to 23,174.24, 34,761 and 5,644.04

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Solution

The fourth proportional to 23,174.24, 34,761 and 5,644.04 is: 8,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.24 : 34,761 = 5,644.04 : x
  2. Step 2: Convert to fraction form
    23,174.24/34,761 = 5,644.04/x
  3. Step 3: Cross multiply
    23,174.24x = 34,761 × 5,644.04
  4. Step 4: Simplify right side
    23,174.24x = 196,192,474.44
  5. Step 5: Solve for x
    x = 196,192,474.44/23,174.24
  6. Step 6: Final answer
    x = 8,465.97

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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.