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Finding the Fourth Proportional to 22,224.76, 33,350.22 and 8,194.66

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Solution

The fourth proportional to 22,224.76, 33,350.22 and 8,194.66 is: 12,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224.76 : 33,350.22 = 8,194.66 : x
  2. Step 2: Convert to fraction form
    22,224.76/33,350.22 = 8,194.66/x
  3. Step 3: Cross multiply
    22,224.76x = 33,350.22 × 8,194.66
  4. Step 4: Simplify right side
    22,224.76x = 273,293,713.83
  5. Step 5: Solve for x
    x = 273,293,713.83/22,224.76
  6. Step 6: Final answer
    x = 12,296.81

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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.