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Finding the Fourth Proportional to 22,514.70, 33,772.05 and 10,829.10

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Solution

The fourth proportional to 22,514.70, 33,772.05 and 10,829.10 is: 16,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.70 : 33,772.05 = 10,829.10 : x
  2. Step 2: Convert to fraction form
    22,514.70/33,772.05 = 10,829.10/x
  3. Step 3: Cross multiply
    22,514.70x = 33,772.05 × 10,829.10
  4. Step 4: Simplify right side
    22,514.70x = 365,720,906.66
  5. Step 5: Solve for x
    x = 365,720,906.66/22,514.70
  6. Step 6: Final answer
    x = 16,243.65

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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.