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Finding the Fourth Proportional to 24,838.22, 37,253.68 and 8,198.80

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Solution

The fourth proportional to 24,838.22, 37,253.68 and 8,198.80 is: 12,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.22 : 37,253.68 = 8,198.80 : x
  2. Step 2: Convert to fraction form
    24,838.22/37,253.68 = 8,198.80/x
  3. Step 3: Cross multiply
    24,838.22x = 37,253.68 × 8,198.80
  4. Step 4: Simplify right side
    24,838.22x = 305,435,471.58
  5. Step 5: Solve for x
    x = 305,435,471.58/24,838.22
  6. Step 6: Final answer
    x = 12,297.00

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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.