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Finding the Fourth Proportional to 38,491.50, 57,738.93 and 12,198.18

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Solution

The fourth proportional to 38,491.50, 57,738.93 and 12,198.18 is: 18,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.50 : 57,738.93 = 12,198.18 : x
  2. Step 2: Convert to fraction form
    38,491.50/57,738.93 = 12,198.18/x
  3. Step 3: Cross multiply
    38,491.50x = 57,738.93 × 12,198.18
  4. Step 4: Simplify right side
    38,491.50x = 704,309,861.15
  5. Step 5: Solve for x
    x = 704,309,861.15/38,491.50
  6. Step 6: Final answer
    x = 18,297.80

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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.