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Finding the Fourth Proportional to 23,850.82, 35,754.30 and 8,257.54

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Solution

The fourth proportional to 23,850.82, 35,754.30 and 8,257.54 is: 12,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.82 : 35,754.30 = 8,257.54 : x
  2. Step 2: Convert to fraction form
    23,850.82/35,754.30 = 8,257.54/x
  3. Step 3: Cross multiply
    23,850.82x = 35,754.30 × 8,257.54
  4. Step 4: Simplify right side
    23,850.82x = 295,242,562.42
  5. Step 5: Solve for x
    x = 295,242,562.42/23,850.82
  6. Step 6: Final answer
    x = 12,378.72

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1.5x scale

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.