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Finding the Fourth Proportional to 20,138.71, 27,791.04 and 11,186.12

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Solution

The fourth proportional to 20,138.71, 27,791.04 and 11,186.12 is: 15,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.71 : 27,791.04 = 11,186.12 : x
  2. Step 2: Convert to fraction form
    20,138.71/27,791.04 = 11,186.12/x
  3. Step 3: Cross multiply
    20,138.71x = 27,791.04 × 11,186.12
  4. Step 4: Simplify right side
    20,138.71x = 310,873,908.36
  5. Step 5: Solve for x
    x = 310,873,908.36/20,138.71
  6. Step 6: Final answer
    x = 15,436.64

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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.