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Finding the Fourth Proportional to 20,067.58, 27,668.07 and 12,884.81

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Solution

The fourth proportional to 20,067.58, 27,668.07 and 12,884.81 is: 17,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.58 : 27,668.07 = 12,884.81 : x
  2. Step 2: Convert to fraction form
    20,067.58/27,668.07 = 12,884.81/x
  3. Step 3: Cross multiply
    20,067.58x = 27,668.07 × 12,884.81
  4. Step 4: Simplify right side
    20,067.58x = 356,497,686.68
  5. Step 5: Solve for x
    x = 356,497,686.68/20,067.58
  6. Step 6: Final answer
    x = 17,764.86

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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.