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Finding the Fourth Proportional to 38,510.40, 57,767.40 and 12,217.20

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Solution

The fourth proportional to 38,510.40, 57,767.40 and 12,217.20 is: 18,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.40 : 57,767.40 = 12,217.20 : x
  2. Step 2: Convert to fraction form
    38,510.40/57,767.40 = 12,217.20/x
  3. Step 3: Cross multiply
    38,510.40x = 57,767.40 × 12,217.20
  4. Step 4: Simplify right side
    38,510.40x = 705,755,879.28
  5. Step 5: Solve for x
    x = 705,755,879.28/38,510.40
  6. Step 6: Final answer
    x = 18,326.37

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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.