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Finding the Fourth Proportional to 27,884.96, 41,824.32 and 8,163.68

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Solution

The fourth proportional to 27,884.96, 41,824.32 and 8,163.68 is: 12,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.96 : 41,824.32 = 8,163.68 : x
  2. Step 2: Convert to fraction form
    27,884.96/41,824.32 = 8,163.68/x
  3. Step 3: Cross multiply
    27,884.96x = 41,824.32 × 8,163.68
  4. Step 4: Simplify right side
    27,884.96x = 341,440,364.70
  5. Step 5: Solve for x
    x = 341,440,364.70/27,884.96
  6. Step 6: Final answer
    x = 12,244.61

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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.