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Finding the Fourth Proportional to 27,716.72, 41,581.24 and 7,993.74

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Solution

The fourth proportional to 27,716.72, 41,581.24 and 7,993.74 is: 11,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.72 : 41,581.24 = 7,993.74 : x
  2. Step 2: Convert to fraction form
    27,716.72/41,581.24 = 7,993.74/x
  3. Step 3: Cross multiply
    27,716.72x = 41,581.24 × 7,993.74
  4. Step 4: Simplify right side
    27,716.72x = 332,389,621.44
  5. Step 5: Solve for x
    x = 332,389,621.44/27,716.72
  6. Step 6: Final answer
    x = 11,992.39

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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.