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Finding the Fourth Proportional to 20,158.26, 27,813.86 and 12,198.80

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Solution

The fourth proportional to 20,158.26, 27,813.86 and 12,198.80 is: 16,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.26 : 27,813.86 = 12,198.80 : x
  2. Step 2: Convert to fraction form
    20,158.26/27,813.86 = 12,198.80/x
  3. Step 3: Cross multiply
    20,158.26x = 27,813.86 × 12,198.80
  4. Step 4: Simplify right side
    20,158.26x = 339,295,576.30
  5. Step 5: Solve for x
    x = 339,295,576.30/20,158.26
  6. Step 6: Final answer
    x = 16,831.59

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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.