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Finding the Fourth Proportional to 27,633.24, 41,449.73 and 7,911.86

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Solution

The fourth proportional to 27,633.24, 41,449.73 and 7,911.86 is: 11,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.24 : 41,449.73 = 7,911.86 : x
  2. Step 2: Convert to fraction form
    27,633.24/41,449.73 = 7,911.86/x
  3. Step 3: Cross multiply
    27,633.24x = 41,449.73 × 7,911.86
  4. Step 4: Simplify right side
    27,633.24x = 327,944,213.99
  5. Step 5: Solve for x
    x = 327,944,213.99/27,633.24
  6. Step 6: Final answer
    x = 11,867.74

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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.