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Finding the Fourth Proportional to 22,474, 33,726.12 and 13,475.44

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Solution

The fourth proportional to 22,474, 33,726.12 and 13,475.44 is: 20,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474 : 33,726.12 = 13,475.44 : x
  2. Step 2: Convert to fraction form
    22,474/33,726.12 = 13,475.44/x
  3. Step 3: Cross multiply
    22,474x = 33,726.12 × 13,475.44
  4. Step 4: Simplify right side
    22,474x = 454,474,306.49
  5. Step 5: Solve for x
    x = 454,474,306.49/22,474
  6. Step 6: Final answer
    x = 20,222.23

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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.