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Finding the Fourth Proportional to 20,234.92, 27,924.51 and 11,737.78

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Solution

The fourth proportional to 20,234.92, 27,924.51 and 11,737.78 is: 16,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.92 : 27,924.51 = 11,737.78 : x
  2. Step 2: Convert to fraction form
    20,234.92/27,924.51 = 11,737.78/x
  3. Step 3: Cross multiply
    20,234.92x = 27,924.51 × 11,737.78
  4. Step 4: Simplify right side
    20,234.92x = 327,771,754.99
  5. Step 5: Solve for x
    x = 327,771,754.99/20,234.92
  6. Step 6: Final answer
    x = 16,198.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.