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Finding the Fourth Proportional to 22,271.78, 33,411.42 and 8,231.85

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Solution

The fourth proportional to 22,271.78, 33,411.42 and 8,231.85 is: 12,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.78 : 33,411.42 = 8,231.85 : x
  2. Step 2: Convert to fraction form
    22,271.78/33,411.42 = 8,231.85/x
  3. Step 3: Cross multiply
    22,271.78x = 33,411.42 × 8,231.85
  4. Step 4: Simplify right side
    22,271.78x = 275,037,797.73
  5. Step 5: Solve for x
    x = 275,037,797.73/22,271.78
  6. Step 6: Final answer
    x = 12,349.16

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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.