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Finding the Fourth Proportional to 22,302.20, 33,198.49 and 21,969.92

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Solution

The fourth proportional to 22,302.20, 33,198.49 and 21,969.92 is: 32,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.20 : 33,198.49 = 21,969.92 : x
  2. Step 2: Convert to fraction form
    22,302.20/33,198.49 = 21,969.92/x
  3. Step 3: Cross multiply
    22,302.20x = 33,198.49 × 21,969.92
  4. Step 4: Simplify right side
    22,302.20x = 729,368,169.42
  5. Step 5: Solve for x
    x = 729,368,169.42/22,302.20
  6. Step 6: Final answer
    x = 32,703.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.