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Finding the Fourth Proportional to 27,960.68, 41,948.22 and 8,238.60

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Solution

The fourth proportional to 27,960.68, 41,948.22 and 8,238.60 is: 12,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960.68 : 41,948.22 = 8,238.60 : x
  2. Step 2: Convert to fraction form
    27,960.68/41,948.22 = 8,238.60/x
  3. Step 3: Cross multiply
    27,960.68x = 41,948.22 × 8,238.60
  4. Step 4: Simplify right side
    27,960.68x = 345,594,605.29
  5. Step 5: Solve for x
    x = 345,594,605.29/27,960.68
  6. Step 6: Final answer
    x = 12,360.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.