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Finding the Fourth Proportional to 16,578.38, 24,834.30 and 8,233.16

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Solution

The fourth proportional to 16,578.38, 24,834.30 and 8,233.16 is: 12,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.38 : 24,834.30 = 8,233.16 : x
  2. Step 2: Convert to fraction form
    16,578.38/24,834.30 = 8,233.16/x
  3. Step 3: Cross multiply
    16,578.38x = 24,834.30 × 8,233.16
  4. Step 4: Simplify right side
    16,578.38x = 204,464,641.22
  5. Step 5: Solve for x
    x = 204,464,641.22/16,578.38
  6. Step 6: Final answer
    x = 12,333.21

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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.