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Finding the Fourth Proportional to 20,198.16, 27,874.94 and 11,702.48

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Solution

The fourth proportional to 20,198.16, 27,874.94 and 11,702.48 is: 16,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.16 : 27,874.94 = 11,702.48 : x
  2. Step 2: Convert to fraction form
    20,198.16/27,874.94 = 11,702.48/x
  3. Step 3: Cross multiply
    20,198.16x = 27,874.94 × 11,702.48
  4. Step 4: Simplify right side
    20,198.16x = 326,205,729.96
  5. Step 5: Solve for x
    x = 326,205,729.96/20,198.16
  6. Step 6: Final answer
    x = 16,150.27

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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.