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Finding the Fourth Proportional to 27,722.60, 41,577.78 and 7,996.88

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Solution

The fourth proportional to 27,722.60, 41,577.78 and 7,996.88 is: 11,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.60 : 41,577.78 = 7,996.88 : x
  2. Step 2: Convert to fraction form
    27,722.60/41,577.78 = 7,996.88/x
  3. Step 3: Cross multiply
    27,722.60x = 41,577.78 × 7,996.88
  4. Step 4: Simplify right side
    27,722.60x = 332,492,517.33
  5. Step 5: Solve for x
    x = 332,492,517.33/27,722.60
  6. Step 6: Final answer
    x = 11,993.55

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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.