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Finding the Fourth Proportional to 20,249.87, 27,944.74 and 11,297.38

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Solution

The fourth proportional to 20,249.87, 27,944.74 and 11,297.38 is: 15,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.87 : 27,944.74 = 11,297.38 : x
  2. Step 2: Convert to fraction form
    20,249.87/27,944.74 = 11,297.38/x
  3. Step 3: Cross multiply
    20,249.87x = 27,944.74 × 11,297.38
  4. Step 4: Simplify right side
    20,249.87x = 315,702,290.29
  5. Step 5: Solve for x
    x = 315,702,290.29/20,249.87
  6. Step 6: Final answer
    x = 15,590.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.