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Finding the Fourth Proportional to 23,843.36, 35,761.08 and 8,257.28

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Solution

The fourth proportional to 23,843.36, 35,761.08 and 8,257.28 is: 12,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.36 : 35,761.08 = 8,257.28 : x
  2. Step 2: Convert to fraction form
    23,843.36/35,761.08 = 8,257.28/x
  3. Step 3: Cross multiply
    23,843.36x = 35,761.08 × 8,257.28
  4. Step 4: Simplify right side
    23,843.36x = 295,289,250.66
  5. Step 5: Solve for x
    x = 295,289,250.66/23,843.36
  6. Step 6: Final answer
    x = 12,384.55

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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.