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Finding the Fourth Proportional to 25,198.68, 37,793.87 and 9,399.58

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Solution

The fourth proportional to 25,198.68, 37,793.87 and 9,399.58 is: 14,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.68 : 37,793.87 = 9,399.58 : x
  2. Step 2: Convert to fraction form
    25,198.68/37,793.87 = 9,399.58/x
  3. Step 3: Cross multiply
    25,198.68x = 37,793.87 × 9,399.58
  4. Step 4: Simplify right side
    25,198.68x = 355,246,315.61
  5. Step 5: Solve for x
    x = 355,246,315.61/25,198.68
  6. Step 6: Final answer
    x = 14,097.82

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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.