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Finding the Fourth Proportional to 38,411.98, 57,626.51 and 11,761.70

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Solution

The fourth proportional to 38,411.98, 57,626.51 and 11,761.70 is: 17,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.98 : 57,626.51 = 11,761.70 : x
  2. Step 2: Convert to fraction form
    38,411.98/57,626.51 = 11,761.70/x
  3. Step 3: Cross multiply
    38,411.98x = 57,626.51 × 11,761.70
  4. Step 4: Simplify right side
    38,411.98x = 677,785,375.73
  5. Step 5: Solve for x
    x = 677,785,375.73/38,411.98
  6. Step 6: Final answer
    x = 17,645.16

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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.