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Finding the Fourth Proportional to 16,640.38, 24,938.69 and 8,211.52

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Solution

The fourth proportional to 16,640.38, 24,938.69 and 8,211.52 is: 12,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.38 : 24,938.69 = 8,211.52 : x
  2. Step 2: Convert to fraction form
    16,640.38/24,938.69 = 8,211.52/x
  3. Step 3: Cross multiply
    16,640.38x = 24,938.69 × 8,211.52
  4. Step 4: Simplify right side
    16,640.38x = 204,784,427.02
  5. Step 5: Solve for x
    x = 204,784,427.02/16,640.38
  6. Step 6: Final answer
    x = 12,306.48

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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.