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Finding the Fourth Proportional to 18,274, 27,414.84 and 7,330

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Solution

The fourth proportional to 18,274, 27,414.84 and 7,330 is: 10,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274 : 27,414.84 = 7,330 : x
  2. Step 2: Convert to fraction form
    18,274/27,414.84 = 7,330/x
  3. Step 3: Cross multiply
    18,274x = 27,414.84 × 7,330
  4. Step 4: Simplify right side
    18,274x = 200,950,777.20
  5. Step 5: Solve for x
    x = 200,950,777.20/18,274
  6. Step 6: Final answer
    x = 10,996.54

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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.