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Finding the Fourth Proportional to 22,243.68, 33,367.56 and 8,203.14

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Solution

The fourth proportional to 22,243.68, 33,367.56 and 8,203.14 is: 12,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243.68 : 33,367.56 = 8,203.14 : x
  2. Step 2: Convert to fraction form
    22,243.68/33,367.56 = 8,203.14/x
  3. Step 3: Cross multiply
    22,243.68x = 33,367.56 × 8,203.14
  4. Step 4: Simplify right side
    22,243.68x = 273,718,766.14
  5. Step 5: Solve for x
    x = 273,718,766.14/22,243.68
  6. Step 6: Final answer
    x = 12,305.46

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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.