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Finding the Fourth Proportional to 23,843.80, 35,765.73 and 8,261.42

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Solution

The fourth proportional to 23,843.80, 35,765.73 and 8,261.42 is: 12,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.80 : 35,765.73 = 8,261.42 : x
  2. Step 2: Convert to fraction form
    23,843.80/35,765.73 = 8,261.42/x
  3. Step 3: Cross multiply
    23,843.80x = 35,765.73 × 8,261.42
  4. Step 4: Simplify right side
    23,843.80x = 295,475,717.14
  5. Step 5: Solve for x
    x = 295,475,717.14/23,843.80
  6. Step 6: Final answer
    x = 12,392.14

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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.