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Finding the Fourth Proportional to 18,469.28, 27,696.60 and 6,776.12

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Solution

The fourth proportional to 18,469.28, 27,696.60 and 6,776.12 is: 10,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.28 : 27,696.60 = 6,776.12 : x
  2. Step 2: Convert to fraction form
    18,469.28/27,696.60 = 6,776.12/x
  3. Step 3: Cross multiply
    18,469.28x = 27,696.60 × 6,776.12
  4. Step 4: Simplify right side
    18,469.28x = 187,675,346.71
  5. Step 5: Solve for x
    x = 187,675,346.71/18,469.28
  6. Step 6: Final answer
    x = 10,161.49

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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.