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Finding the Fourth Proportional to 22,177.50, 33,288.84 and 11,092.20

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Solution

The fourth proportional to 22,177.50, 33,288.84 and 11,092.20 is: 16,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.50 : 33,288.84 = 11,092.20 : x
  2. Step 2: Convert to fraction form
    22,177.50/33,288.84 = 11,092.20/x
  3. Step 3: Cross multiply
    22,177.50x = 33,288.84 × 11,092.20
  4. Step 4: Simplify right side
    22,177.50x = 369,246,471.05
  5. Step 5: Solve for x
    x = 369,246,471.05/22,177.50
  6. Step 6: Final answer
    x = 16,649.60

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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.