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Finding the Fourth Proportional to 18,067.14, 27,103.10 and 8,071.97

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Solution

The fourth proportional to 18,067.14, 27,103.10 and 8,071.97 is: 12,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,067.14 : 27,103.10 = 8,071.97 : x
  2. Step 2: Convert to fraction form
    18,067.14/27,103.10 = 8,071.97/x
  3. Step 3: Cross multiply
    18,067.14x = 27,103.10 × 8,071.97
  4. Step 4: Simplify right side
    18,067.14x = 218,775,234.23
  5. Step 5: Solve for x
    x = 218,775,234.23/18,067.14
  6. Step 6: Final answer
    x = 12,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.