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Finding the Fourth Proportional to 20,138.82, 27,791.56 and 11,187.16

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Solution

The fourth proportional to 20,138.82, 27,791.56 and 11,187.16 is: 15,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.82 : 27,791.56 = 11,187.16 : x
  2. Step 2: Convert to fraction form
    20,138.82/27,791.56 = 11,187.16/x
  3. Step 3: Cross multiply
    20,138.82x = 27,791.56 × 11,187.16
  4. Step 4: Simplify right side
    20,138.82x = 310,908,489.41
  5. Step 5: Solve for x
    x = 310,908,489.41/20,138.82
  6. Step 6: Final answer
    x = 15,438.27

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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.