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Finding the Fourth Proportional to 16,540.54, 24,814.85 and 8,224.47

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Solution

The fourth proportional to 16,540.54, 24,814.85 and 8,224.47 is: 12,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.54 : 24,814.85 = 8,224.47 : x
  2. Step 2: Convert to fraction form
    16,540.54/24,814.85 = 8,224.47/x
  3. Step 3: Cross multiply
    16,540.54x = 24,814.85 × 8,224.47
  4. Step 4: Simplify right side
    16,540.54x = 204,088,989.38
  5. Step 5: Solve for x
    x = 204,088,989.38/16,540.54
  6. Step 6: Final answer
    x = 12,338.71

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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.