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Finding the Fourth Proportional to 27,722.27, 41,571.05 and 7,996.14

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Solution

The fourth proportional to 27,722.27, 41,571.05 and 7,996.14 is: 11,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.27 : 41,571.05 = 7,996.14 : x
  2. Step 2: Convert to fraction form
    27,722.27/41,571.05 = 7,996.14/x
  3. Step 3: Cross multiply
    27,722.27x = 41,571.05 × 7,996.14
  4. Step 4: Simplify right side
    27,722.27x = 332,407,895.77
  5. Step 5: Solve for x
    x = 332,407,895.77/27,722.27
  6. Step 6: Final answer
    x = 11,990.64

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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.