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Finding the Fourth Proportional to 27,861.56, 41,791.90 and 11,221.16

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Solution

The fourth proportional to 27,861.56, 41,791.90 and 11,221.16 is: 16,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.56 : 41,791.90 = 11,221.16 : x
  2. Step 2: Convert to fraction form
    27,861.56/41,791.90 = 11,221.16/x
  3. Step 3: Cross multiply
    27,861.56x = 41,791.90 × 11,221.16
  4. Step 4: Simplify right side
    27,861.56x = 468,953,380.63
  5. Step 5: Solve for x
    x = 468,953,380.63/27,861.56
  6. Step 6: Final answer
    x = 16,831.56

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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.