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Finding the Fourth Proportional to 20,249.26, 27,944.40 and 11,297.14

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Solution

The fourth proportional to 20,249.26, 27,944.40 and 11,297.14 is: 15,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.26 : 27,944.40 = 11,297.14 : x
  2. Step 2: Convert to fraction form
    20,249.26/27,944.40 = 11,297.14/x
  3. Step 3: Cross multiply
    20,249.26x = 27,944.40 × 11,297.14
  4. Step 4: Simplify right side
    20,249.26x = 315,691,799.02
  5. Step 5: Solve for x
    x = 315,691,799.02/20,249.26
  6. Step 6: Final answer
    x = 15,590.29

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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.