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Finding the Fourth Proportional to 38,314.41, 57,472.23 and 12,019.38

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Solution

The fourth proportional to 38,314.41, 57,472.23 and 12,019.38 is: 18,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.41 : 57,472.23 = 12,019.38 : x
  2. Step 2: Convert to fraction form
    38,314.41/57,472.23 = 12,019.38/x
  3. Step 3: Cross multiply
    38,314.41x = 57,472.23 × 12,019.38
  4. Step 4: Simplify right side
    38,314.41x = 690,780,571.82
  5. Step 5: Solve for x
    x = 690,780,571.82/38,314.41
  6. Step 6: Final answer
    x = 18,029.26

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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.