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Finding the Fourth Proportional to 38,505.40, 57,747.30 and 12,218.20

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Solution

The fourth proportional to 38,505.40, 57,747.30 and 12,218.20 is: 18,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.40 : 57,747.30 = 12,218.20 : x
  2. Step 2: Convert to fraction form
    38,505.40/57,747.30 = 12,218.20/x
  3. Step 3: Cross multiply
    38,505.40x = 57,747.30 × 12,218.20
  4. Step 4: Simplify right side
    38,505.40x = 705,568,060.86
  5. Step 5: Solve for x
    x = 705,568,060.86/38,505.40
  6. Step 6: Final answer
    x = 18,323.87

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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.