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Finding the Fourth Proportional to 16,589.03, 24,850.19 and 8,243.78

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Solution

The fourth proportional to 16,589.03, 24,850.19 and 8,243.78 is: 12,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.03 : 24,850.19 = 8,243.78 : x
  2. Step 2: Convert to fraction form
    16,589.03/24,850.19 = 8,243.78/x
  3. Step 3: Cross multiply
    16,589.03x = 24,850.19 × 8,243.78
  4. Step 4: Simplify right side
    16,589.03x = 204,859,395.68
  5. Step 5: Solve for x
    x = 204,859,395.68/16,589.03
  6. Step 6: Final answer
    x = 12,349.09

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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.