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Finding the Fourth Proportional to 20,186.22, 27,862.47 and 13,112.22

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Solution

The fourth proportional to 20,186.22, 27,862.47 and 13,112.22 is: 18,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.22 : 27,862.47 = 13,112.22 : x
  2. Step 2: Convert to fraction form
    20,186.22/27,862.47 = 13,112.22/x
  3. Step 3: Cross multiply
    20,186.22x = 27,862.47 × 13,112.22
  4. Step 4: Simplify right side
    20,186.22x = 365,338,836.38
  5. Step 5: Solve for x
    x = 365,338,836.38/20,186.22
  6. Step 6: Final answer
    x = 18,098.43

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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.