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Finding the Fourth Proportional to 20,138.68, 27,791.88 and 11,185.75

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Solution

The fourth proportional to 20,138.68, 27,791.88 and 11,185.75 is: 15,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.68 : 27,791.88 = 11,185.75 : x
  2. Step 2: Convert to fraction form
    20,138.68/27,791.88 = 11,185.75/x
  3. Step 3: Cross multiply
    20,138.68x = 27,791.88 × 11,185.75
  4. Step 4: Simplify right side
    20,138.68x = 310,873,021.71
  5. Step 5: Solve for x
    x = 310,873,021.71/20,138.68
  6. Step 6: Final answer
    x = 15,436.61

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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.