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Finding the Fourth Proportional to 20,104.82, 27,744.22 and 12,446.05

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Solution

The fourth proportional to 20,104.82, 27,744.22 and 12,446.05 is: 17,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.82 : 27,744.22 = 12,446.05 : x
  2. Step 2: Convert to fraction form
    20,104.82/27,744.22 = 12,446.05/x
  3. Step 3: Cross multiply
    20,104.82x = 27,744.22 × 12,446.05
  4. Step 4: Simplify right side
    20,104.82x = 345,305,949.33
  5. Step 5: Solve for x
    x = 345,305,949.33/20,104.82
  6. Step 6: Final answer
    x = 17,175.28

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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.