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Finding the Fourth Proportional to 15,149.75, 22,724.83 and 4,761.50

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Solution

The fourth proportional to 15,149.75, 22,724.83 and 4,761.50 is: 7,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.75 : 22,724.83 = 4,761.50 : x
  2. Step 2: Convert to fraction form
    15,149.75/22,724.83 = 4,761.50/x
  3. Step 3: Cross multiply
    15,149.75x = 22,724.83 × 4,761.50
  4. Step 4: Simplify right side
    15,149.75x = 108,204,278.05
  5. Step 5: Solve for x
    x = 108,204,278.05/15,149.75
  6. Step 6: Final answer
    x = 7,142.31

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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.