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Finding the Fourth Proportional to 16,229.30, 24,343.69 and 8,327.25

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Solution

The fourth proportional to 16,229.30, 24,343.69 and 8,327.25 is: 12,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.30 : 24,343.69 = 8,327.25 : x
  2. Step 2: Convert to fraction form
    16,229.30/24,343.69 = 8,327.25/x
  3. Step 3: Cross multiply
    16,229.30x = 24,343.69 × 8,327.25
  4. Step 4: Simplify right side
    16,229.30x = 202,715,982.14
  5. Step 5: Solve for x
    x = 202,715,982.14/16,229.30
  6. Step 6: Final answer
    x = 12,490.74

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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.