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Finding the Fourth Proportional to 27,884.98, 41,833.55 and 11,245.56

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Solution

The fourth proportional to 27,884.98, 41,833.55 and 11,245.56 is: 16,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.98 : 41,833.55 = 11,245.56 : x
  2. Step 2: Convert to fraction form
    27,884.98/41,833.55 = 11,245.56/x
  3. Step 3: Cross multiply
    27,884.98x = 41,833.55 × 11,245.56
  4. Step 4: Simplify right side
    27,884.98x = 470,441,696.54
  5. Step 5: Solve for x
    x = 470,441,696.54/27,884.98
  6. Step 6: Final answer
    x = 16,870.79

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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.