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Finding the Fourth Proportional to 20,177.78, 27,842.94 and 11,224.06

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Solution

The fourth proportional to 20,177.78, 27,842.94 and 11,224.06 is: 15,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.78 : 27,842.94 = 11,224.06 : x
  2. Step 2: Convert to fraction form
    20,177.78/27,842.94 = 11,224.06/x
  3. Step 3: Cross multiply
    20,177.78x = 27,842.94 × 11,224.06
  4. Step 4: Simplify right side
    20,177.78x = 312,510,759.53
  5. Step 5: Solve for x
    x = 312,510,759.53/20,177.78
  6. Step 6: Final answer
    x = 15,487.87

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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.