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Finding the Fourth Proportional to 27,885.10, 41,824.59 and 8,163.85

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Solution

The fourth proportional to 27,885.10, 41,824.59 and 8,163.85 is: 12,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.10 : 41,824.59 = 8,163.85 : x
  2. Step 2: Convert to fraction form
    27,885.10/41,824.59 = 8,163.85/x
  3. Step 3: Cross multiply
    27,885.10x = 41,824.59 × 8,163.85
  4. Step 4: Simplify right side
    27,885.10x = 341,449,533.69
  5. Step 5: Solve for x
    x = 341,449,533.69/27,885.10
  6. Step 6: Final answer
    x = 12,244.88

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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.