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Finding the Fourth Proportional to 20,138.26, 27,791.64 and 11,185.72

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Solution

The fourth proportional to 20,138.26, 27,791.64 and 11,185.72 is: 15,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.26 : 27,791.64 = 11,185.72 : x
  2. Step 2: Convert to fraction form
    20,138.26/27,791.64 = 11,185.72/x
  3. Step 3: Cross multiply
    20,138.26x = 27,791.64 × 11,185.72
  4. Step 4: Simplify right side
    20,138.26x = 310,869,503.38
  5. Step 5: Solve for x
    x = 310,869,503.38/20,138.26
  6. Step 6: Final answer
    x = 15,436.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.