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Finding the Fourth Proportional to 27,767.38, 41,667.36 and 10,249.42

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Solution

The fourth proportional to 27,767.38, 41,667.36 and 10,249.42 is: 15,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.38 : 41,667.36 = 10,249.42 : x
  2. Step 2: Convert to fraction form
    27,767.38/41,667.36 = 10,249.42/x
  3. Step 3: Cross multiply
    27,767.38x = 41,667.36 × 10,249.42
  4. Step 4: Simplify right side
    27,767.38x = 427,066,272.93
  5. Step 5: Solve for x
    x = 427,066,272.93/27,767.38
  6. Step 6: Final answer
    x = 15,380.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.