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Finding the Fourth Proportional to 22,414, 30,939.78 and 17,621.44

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Solution

The fourth proportional to 22,414, 30,939.78 and 17,621.44 is: 24,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414 : 30,939.78 = 17,621.44 : x
  2. Step 2: Convert to fraction form
    22,414/30,939.78 = 17,621.44/x
  3. Step 3: Cross multiply
    22,414x = 30,939.78 × 17,621.44
  4. Step 4: Simplify right side
    22,414x = 545,203,476.88
  5. Step 5: Solve for x
    x = 545,203,476.88/22,414
  6. Step 6: Final answer
    x = 24,324.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.