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Finding the Fourth Proportional to 20,178.81, 27,847.13 and 11,227.14

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Solution

The fourth proportional to 20,178.81, 27,847.13 and 11,227.14 is: 15,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.81 : 27,847.13 = 11,227.14 : x
  2. Step 2: Convert to fraction form
    20,178.81/27,847.13 = 11,227.14/x
  3. Step 3: Cross multiply
    20,178.81x = 27,847.13 × 11,227.14
  4. Step 4: Simplify right side
    20,178.81x = 312,643,627.11
  5. Step 5: Solve for x
    x = 312,643,627.11/20,178.81
  6. Step 6: Final answer
    x = 15,493.66

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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.