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Finding the Fourth Proportional to 27,520.24, 41,267.96 and 7,794.12

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Solution

The fourth proportional to 27,520.24, 41,267.96 and 7,794.12 is: 11,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520.24 : 41,267.96 = 7,794.12 : x
  2. Step 2: Convert to fraction form
    27,520.24/41,267.96 = 7,794.12/x
  3. Step 3: Cross multiply
    27,520.24x = 41,267.96 × 7,794.12
  4. Step 4: Simplify right side
    27,520.24x = 321,647,432.40
  5. Step 5: Solve for x
    x = 321,647,432.40/27,520.24
  6. Step 6: Final answer
    x = 11,687.67

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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.