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Finding the Fourth Proportional to 22,552.92, 33,824.25 and 8,514.45

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Solution

The fourth proportional to 22,552.92, 33,824.25 and 8,514.45 is: 12,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.92 : 33,824.25 = 8,514.45 : x
  2. Step 2: Convert to fraction form
    22,552.92/33,824.25 = 8,514.45/x
  3. Step 3: Cross multiply
    22,552.92x = 33,824.25 × 8,514.45
  4. Step 4: Simplify right side
    22,552.92x = 287,994,885.41
  5. Step 5: Solve for x
    x = 287,994,885.41/22,552.92
  6. Step 6: Final answer
    x = 12,769.74

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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.