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Finding the Fourth Proportional to 27,960.58, 41,940.80 and 8,239.12

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Solution

The fourth proportional to 27,960.58, 41,940.80 and 8,239.12 is: 12,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960.58 : 41,940.80 = 8,239.12 : x
  2. Step 2: Convert to fraction form
    27,960.58/41,940.80 = 8,239.12/x
  3. Step 3: Cross multiply
    27,960.58x = 41,940.80 × 8,239.12
  4. Step 4: Simplify right side
    27,960.58x = 345,555,284.10
  5. Step 5: Solve for x
    x = 345,555,284.10/27,960.58
  6. Step 6: Final answer
    x = 12,358.66

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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.