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Finding the Fourth Proportional to 27,716.42, 41,591.03 and 10,198.55

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Solution

The fourth proportional to 27,716.42, 41,591.03 and 10,198.55 is: 15,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.42 : 41,591.03 = 10,198.55 : x
  2. Step 2: Convert to fraction form
    27,716.42/41,591.03 = 10,198.55/x
  3. Step 3: Cross multiply
    27,716.42x = 41,591.03 × 10,198.55
  4. Step 4: Simplify right side
    27,716.42x = 424,167,940.06
  5. Step 5: Solve for x
    x = 424,167,940.06/27,716.42
  6. Step 6: Final answer
    x = 15,303.85

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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.