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Finding the Fourth Proportional to 20,198.63, 27,874.94 and 11,245.57

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Solution

The fourth proportional to 20,198.63, 27,874.94 and 11,245.57 is: 15,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.63 : 27,874.94 = 11,245.57 : x
  2. Step 2: Convert to fraction form
    20,198.63/27,874.94 = 11,245.57/x
  3. Step 3: Cross multiply
    20,198.63x = 27,874.94 × 11,245.57
  4. Step 4: Simplify right side
    20,198.63x = 313,469,463.10
  5. Step 5: Solve for x
    x = 313,469,463.10/20,198.63
  6. Step 6: Final answer
    x = 15,519.34

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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.