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Finding the Fourth Proportional to 17,644.23, 24,350.22 and 11,665.62

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Solution

The fourth proportional to 17,644.23, 24,350.22 and 11,665.62 is: 16,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.23 : 24,350.22 = 11,665.62 : x
  2. Step 2: Convert to fraction form
    17,644.23/24,350.22 = 11,665.62/x
  3. Step 3: Cross multiply
    17,644.23x = 24,350.22 × 11,665.62
  4. Step 4: Simplify right side
    17,644.23x = 284,060,413.44
  5. Step 5: Solve for x
    x = 284,060,413.44/17,644.23
  6. Step 6: Final answer
    x = 16,099.34

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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.