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Finding the Fourth Proportional to 27,204, 40,806 and 10,788

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Solution

The fourth proportional to 27,204, 40,806 and 10,788 is: 16,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 40,806 = 10,788 : x
  2. Step 2: Convert to fraction form
    27,204/40,806 = 10,788/x
  3. Step 3: Cross multiply
    27,204x = 40,806 × 10,788
  4. Step 4: Simplify right side
    27,204x = 440,215,128
  5. Step 5: Solve for x
    x = 440,215,128/27,204
  6. Step 6: Final answer
    x = 16,182

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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.