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Finding the Fourth Proportional to 23,793.50, 35,687.50 and 6,264.70

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Solution

The fourth proportional to 23,793.50, 35,687.50 and 6,264.70 is: 9,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.50 : 35,687.50 = 6,264.70 : x
  2. Step 2: Convert to fraction form
    23,793.50/35,687.50 = 6,264.70/x
  3. Step 3: Cross multiply
    23,793.50x = 35,687.50 × 6,264.70
  4. Step 4: Simplify right side
    23,793.50x = 223,571,481.25
  5. Step 5: Solve for x
    x = 223,571,481.25/23,793.50
  6. Step 6: Final answer
    x = 9,396.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.