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Finding the Fourth Proportional to 27,876, 41,828.34 and 18,522.48

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Solution

The fourth proportional to 27,876, 41,828.34 and 18,522.48 is: 27,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 41,828.34 = 18,522.48 : x
  2. Step 2: Convert to fraction form
    27,876/41,828.34 = 18,522.48/x
  3. Step 3: Cross multiply
    27,876x = 41,828.34 × 18,522.48
  4. Step 4: Simplify right side
    27,876x = 774,764,591.08
  5. Step 5: Solve for x
    x = 774,764,591.08/27,876
  6. Step 6: Final answer
    x = 27,793.25

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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.