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Finding the Fourth Proportional to 27,993.72, 41,992.11 and 11,351.28

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Solution

The fourth proportional to 27,993.72, 41,992.11 and 11,351.28 is: 17,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.72 : 41,992.11 = 11,351.28 : x
  2. Step 2: Convert to fraction form
    27,993.72/41,992.11 = 11,351.28/x
  3. Step 3: Cross multiply
    27,993.72x = 41,992.11 × 11,351.28
  4. Step 4: Simplify right side
    27,993.72x = 476,664,198.40
  5. Step 5: Solve for x
    x = 476,664,198.40/27,993.72
  6. Step 6: Final answer
    x = 17,027.54

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Why These Related Problems?

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