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Finding the Fourth Proportional to 16,171.44, 24,270.15 and 8,382.48

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Solution

The fourth proportional to 16,171.44, 24,270.15 and 8,382.48 is: 12,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.44 : 24,270.15 = 8,382.48 : x
  2. Step 2: Convert to fraction form
    16,171.44/24,270.15 = 8,382.48/x
  3. Step 3: Cross multiply
    16,171.44x = 24,270.15 × 8,382.48
  4. Step 4: Simplify right side
    16,171.44x = 203,444,046.97
  5. Step 5: Solve for x
    x = 203,444,046.97/16,171.44
  6. Step 6: Final answer
    x = 12,580.45

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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.