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Finding the Fourth Proportional to 17,586.68, 26,380.14 and 7,198.43

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Solution

The fourth proportional to 17,586.68, 26,380.14 and 7,198.43 is: 10,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.68 : 26,380.14 = 7,198.43 : x
  2. Step 2: Convert to fraction form
    17,586.68/26,380.14 = 7,198.43/x
  3. Step 3: Cross multiply
    17,586.68x = 26,380.14 × 7,198.43
  4. Step 4: Simplify right side
    17,586.68x = 189,895,591.18
  5. Step 5: Solve for x
    x = 189,895,591.18/17,586.68
  6. Step 6: Final answer
    x = 10,797.69

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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.