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Finding the Fourth Proportional to 24,198.75, 36,299.49 and 8,616.38

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Solution

The fourth proportional to 24,198.75, 36,299.49 and 8,616.38 is: 12,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.75 : 36,299.49 = 8,616.38 : x
  2. Step 2: Convert to fraction form
    24,198.75/36,299.49 = 8,616.38/x
  3. Step 3: Cross multiply
    24,198.75x = 36,299.49 × 8,616.38
  4. Step 4: Simplify right side
    24,198.75x = 312,770,034.30
  5. Step 5: Solve for x
    x = 312,770,034.30/24,198.75
  6. Step 6: Final answer
    x = 12,925.05

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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.