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Finding the Fourth Proportional to 27,900.87, 41,857.08 and 8,177.76

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Solution

The fourth proportional to 27,900.87, 41,857.08 and 8,177.76 is: 12,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.87 : 41,857.08 = 8,177.76 : x
  2. Step 2: Convert to fraction form
    27,900.87/41,857.08 = 8,177.76/x
  3. Step 3: Cross multiply
    27,900.87x = 41,857.08 × 8,177.76
  4. Step 4: Simplify right side
    27,900.87x = 342,297,154.54
  5. Step 5: Solve for x
    x = 342,297,154.54/27,900.87
  6. Step 6: Final answer
    x = 12,268.33

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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.