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Finding the Fourth Proportional to 22,266, 30,729.24 and 12,330

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Solution

The fourth proportional to 22,266, 30,729.24 and 12,330 is: 17,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266 : 30,729.24 = 12,330 : x
  2. Step 2: Convert to fraction form
    22,266/30,729.24 = 12,330/x
  3. Step 3: Cross multiply
    22,266x = 30,729.24 × 12,330
  4. Step 4: Simplify right side
    22,266x = 378,891,529.20
  5. Step 5: Solve for x
    x = 378,891,529.20/22,266
  6. Step 6: Final answer
    x = 17,016.60

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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.