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Finding the Fourth Proportional to 18,244, 27,369.84 and 7,300

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Solution

The fourth proportional to 18,244, 27,369.84 and 7,300 is: 10,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,244 : 27,369.84 = 7,300 : x
  2. Step 2: Convert to fraction form
    18,244/27,369.84 = 7,300/x
  3. Step 3: Cross multiply
    18,244x = 27,369.84 × 7,300
  4. Step 4: Simplify right side
    18,244x = 199,799,832
  5. Step 5: Solve for x
    x = 199,799,832/18,244
  6. Step 6: Final answer
    x = 10,951.54

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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.