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Finding the Fourth Proportional to 22,286.63, 33,407.49 and 13,972.49

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Solution

The fourth proportional to 22,286.63, 33,407.49 and 13,972.49 is: 20,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.63 : 33,407.49 = 13,972.49 : x
  2. Step 2: Convert to fraction form
    22,286.63/33,407.49 = 13,972.49/x
  3. Step 3: Cross multiply
    22,286.63x = 33,407.49 × 13,972.49
  4. Step 4: Simplify right side
    22,286.63x = 466,785,819.95
  5. Step 5: Solve for x
    x = 466,785,819.95/22,286.63
  6. Step 6: Final answer
    x = 20,944.66

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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.