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Finding the Fourth Proportional to 38,847.26, 58,273.84 and 10,767

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Solution

The fourth proportional to 38,847.26, 58,273.84 and 10,767 is: 16,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,847.26 : 58,273.84 = 10,767 : x
  2. Step 2: Convert to fraction form
    38,847.26/58,273.84 = 10,767/x
  3. Step 3: Cross multiply
    38,847.26x = 58,273.84 × 10,767
  4. Step 4: Simplify right side
    38,847.26x = 627,434,435.28
  5. Step 5: Solve for x
    x = 627,434,435.28/38,847.26
  6. Step 6: Final answer
    x = 16,151.32

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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.