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Finding the Fourth Proportional to 20,198.68, 30,299.64 and 7,050.76

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Solution

The fourth proportional to 20,198.68, 30,299.64 and 7,050.76 is: 10,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.68 : 30,299.64 = 7,050.76 : x
  2. Step 2: Convert to fraction form
    20,198.68/30,299.64 = 7,050.76/x
  3. Step 3: Cross multiply
    20,198.68x = 30,299.64 × 7,050.76
  4. Step 4: Simplify right side
    20,198.68x = 213,635,489.73
  5. Step 5: Solve for x
    x = 213,635,489.73/20,198.68
  6. Step 6: Final answer
    x = 10,576.71

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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.