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Finding the Fourth Proportional to 22,029.76, 33,057.84 and 8,188.48

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Solution

The fourth proportional to 22,029.76, 33,057.84 and 8,188.48 is: 12,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.76 : 33,057.84 = 8,188.48 : x
  2. Step 2: Convert to fraction form
    22,029.76/33,057.84 = 8,188.48/x
  3. Step 3: Cross multiply
    22,029.76x = 33,057.84 × 8,188.48
  4. Step 4: Simplify right side
    22,029.76x = 270,693,461.68
  5. Step 5: Solve for x
    x = 270,693,461.68/22,029.76
  6. Step 6: Final answer
    x = 12,287.63

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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.