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Finding the Fourth Proportional to 27,722.70, 41,584.05 and 8,001.90

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Solution

The fourth proportional to 27,722.70, 41,584.05 and 8,001.90 is: 12,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.70 : 41,584.05 = 8,001.90 : x
  2. Step 2: Convert to fraction form
    27,722.70/41,584.05 = 8,001.90/x
  3. Step 3: Cross multiply
    27,722.70x = 41,584.05 × 8,001.90
  4. Step 4: Simplify right side
    27,722.70x = 332,751,409.70
  5. Step 5: Solve for x
    x = 332,751,409.70/27,722.70
  6. Step 6: Final answer
    x = 12,002.85

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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.