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Finding the Fourth Proportional to 27,204, 37,542 and 16,028.64

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Solution

The fourth proportional to 27,204, 37,542 and 16,028.64 is: 22,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 37,542 = 16,028.64 : x
  2. Step 2: Convert to fraction form
    27,204/37,542 = 16,028.64/x
  3. Step 3: Cross multiply
    27,204x = 37,542 × 16,028.64
  4. Step 4: Simplify right side
    27,204x = 601,747,202.88
  5. Step 5: Solve for x
    x = 601,747,202.88/27,204
  6. Step 6: Final answer
    x = 22,119.81

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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.