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Finding the Fourth Proportional to 27,940.16, 41,910.60 and 8,219.14

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Solution

The fourth proportional to 27,940.16, 41,910.60 and 8,219.14 is: 12,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.16 : 41,910.60 = 8,219.14 : x
  2. Step 2: Convert to fraction form
    27,940.16/41,910.60 = 8,219.14/x
  3. Step 3: Cross multiply
    27,940.16x = 41,910.60 × 8,219.14
  4. Step 4: Simplify right side
    27,940.16x = 344,469,088.88
  5. Step 5: Solve for x
    x = 344,469,088.88/27,940.16
  6. Step 6: Final answer
    x = 12,328.82

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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.