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Finding the Fourth Proportional to 20,219.68, 27,906.82 and 11,727.23

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Solution

The fourth proportional to 20,219.68, 27,906.82 and 11,727.23 is: 16,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.68 : 27,906.82 = 11,727.23 : x
  2. Step 2: Convert to fraction form
    20,219.68/27,906.82 = 11,727.23/x
  3. Step 3: Cross multiply
    20,219.68x = 27,906.82 × 11,727.23
  4. Step 4: Simplify right side
    20,219.68x = 327,269,737.16
  5. Step 5: Solve for x
    x = 327,269,737.16/20,219.68
  6. Step 6: Final answer
    x = 16,185.71

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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.