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Finding the Fourth Proportional to 38,315.87, 57,473.74 and 12,022.66

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Solution

The fourth proportional to 38,315.87, 57,473.74 and 12,022.66 is: 18,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315.87 : 57,473.74 = 12,022.66 : x
  2. Step 2: Convert to fraction form
    38,315.87/57,473.74 = 12,022.66/x
  3. Step 3: Cross multiply
    38,315.87x = 57,473.74 × 12,022.66
  4. Step 4: Simplify right side
    38,315.87x = 690,987,234.95
  5. Step 5: Solve for x
    x = 690,987,234.95/38,315.87
  6. Step 6: Final answer
    x = 18,033.97

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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.