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Finding the Fourth Proportional to 20,176.44, 27,843.82 and 11,224.32

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Solution

The fourth proportional to 20,176.44, 27,843.82 and 11,224.32 is: 15,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.44 : 27,843.82 = 11,224.32 : x
  2. Step 2: Convert to fraction form
    20,176.44/27,843.82 = 11,224.32/x
  3. Step 3: Cross multiply
    20,176.44x = 27,843.82 × 11,224.32
  4. Step 4: Simplify right side
    20,176.44x = 312,527,945.70
  5. Step 5: Solve for x
    x = 312,527,945.70/20,176.44
  6. Step 6: Final answer
    x = 15,489.75

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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.