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Finding the Fourth Proportional to 38,487.42, 57,737.07 and 12,198.20

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Solution

The fourth proportional to 38,487.42, 57,737.07 and 12,198.20 is: 18,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,487.42 : 57,737.07 = 12,198.20 : x
  2. Step 2: Convert to fraction form
    38,487.42/57,737.07 = 12,198.20/x
  3. Step 3: Cross multiply
    38,487.42x = 57,737.07 × 12,198.20
  4. Step 4: Simplify right side
    38,487.42x = 704,288,038.59
  5. Step 5: Solve for x
    x = 704,288,038.59/38,487.42
  6. Step 6: Final answer
    x = 18,299.18

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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.