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Finding the Fourth Proportional to 24,797.68, 37,198.97 and 8,150.96

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Solution

The fourth proportional to 24,797.68, 37,198.97 and 8,150.96 is: 12,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.68 : 37,198.97 = 8,150.96 : x
  2. Step 2: Convert to fraction form
    24,797.68/37,198.97 = 8,150.96/x
  3. Step 3: Cross multiply
    24,797.68x = 37,198.97 × 8,150.96
  4. Step 4: Simplify right side
    24,797.68x = 303,207,316.51
  5. Step 5: Solve for x
    x = 303,207,316.51/24,797.68
  6. Step 6: Final answer
    x = 12,227.25

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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.