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Finding the Fourth Proportional to 22,331.78, 33,503.24 and 8,295.80

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Solution

The fourth proportional to 22,331.78, 33,503.24 and 8,295.80 is: 12,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.78 : 33,503.24 = 8,295.80 : x
  2. Step 2: Convert to fraction form
    22,331.78/33,503.24 = 8,295.80/x
  3. Step 3: Cross multiply
    22,331.78x = 33,503.24 × 8,295.80
  4. Step 4: Simplify right side
    22,331.78x = 277,936,178.39
  5. Step 5: Solve for x
    x = 277,936,178.39/22,331.78
  6. Step 6: Final answer
    x = 12,445.77

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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.