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Finding the Fourth Proportional to 27,940.36, 41,909.28 and 8,219.56

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Solution

The fourth proportional to 27,940.36, 41,909.28 and 8,219.56 is: 12,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.36 : 41,909.28 = 8,219.56 : x
  2. Step 2: Convert to fraction form
    27,940.36/41,909.28 = 8,219.56/x
  3. Step 3: Cross multiply
    27,940.36x = 41,909.28 × 8,219.56
  4. Step 4: Simplify right side
    27,940.36x = 344,475,841.52
  5. Step 5: Solve for x
    x = 344,475,841.52/27,940.36
  6. Step 6: Final answer
    x = 12,328.97

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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.