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Finding the Fourth Proportional to 27,884.42, 41,826.38 and 6,824.55

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Solution

The fourth proportional to 27,884.42, 41,826.38 and 6,824.55 is: 10,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.42 : 41,826.38 = 6,824.55 : x
  2. Step 2: Convert to fraction form
    27,884.42/41,826.38 = 6,824.55/x
  3. Step 3: Cross multiply
    27,884.42x = 41,826.38 × 6,824.55
  4. Step 4: Simplify right side
    27,884.42x = 285,446,212.01
  5. Step 5: Solve for x
    x = 285,446,212.01/27,884.42
  6. Step 6: Final answer
    x = 10,236.76

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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.