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Finding the Fourth Proportional to 22,327.84, 33,469.92 and 12,471.84

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Solution

The fourth proportional to 22,327.84, 33,469.92 and 12,471.84 is: 18,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.84 : 33,469.92 = 12,471.84 : x
  2. Step 2: Convert to fraction form
    22,327.84/33,469.92 = 12,471.84/x
  3. Step 3: Cross multiply
    22,327.84x = 33,469.92 × 12,471.84
  4. Step 4: Simplify right side
    22,327.84x = 417,431,487.05
  5. Step 5: Solve for x
    x = 417,431,487.05/22,327.84
  6. Step 6: Final answer
    x = 18,695.56

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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.