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Finding the Fourth Proportional to 27,940.81, 41,910.39 and 8,219.74

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Solution

The fourth proportional to 27,940.81, 41,910.39 and 8,219.74 is: 12,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.81 : 41,910.39 = 8,219.74 : x
  2. Step 2: Convert to fraction form
    27,940.81/41,910.39 = 8,219.74/x
  3. Step 3: Cross multiply
    27,940.81x = 41,910.39 × 8,219.74
  4. Step 4: Simplify right side
    27,940.81x = 344,492,299.55
  5. Step 5: Solve for x
    x = 344,492,299.55/27,940.81
  6. Step 6: Final answer
    x = 12,329.36

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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.