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Finding the Fourth Proportional to 27,717.57, 41,570.28 and 7,991.85

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Solution

The fourth proportional to 27,717.57, 41,570.28 and 7,991.85 is: 11,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717.57 : 41,570.28 = 7,991.85 : x
  2. Step 2: Convert to fraction form
    27,717.57/41,570.28 = 7,991.85/x
  3. Step 3: Cross multiply
    27,717.57x = 41,570.28 × 7,991.85
  4. Step 4: Simplify right side
    27,717.57x = 332,223,442.22
  5. Step 5: Solve for x
    x = 332,223,442.22/27,717.57
  6. Step 6: Final answer
    x = 11,986.02

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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.