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Finding the Fourth Proportional to 18,678, 28,021.44 and 6,366

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Solution

The fourth proportional to 18,678, 28,021.44 and 6,366 is: 9,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 28,021.44 = 6,366 : x
  2. Step 2: Convert to fraction form
    18,678/28,021.44 = 6,366/x
  3. Step 3: Cross multiply
    18,678x = 28,021.44 × 6,366
  4. Step 4: Simplify right side
    18,678x = 178,384,487.04
  5. Step 5: Solve for x
    x = 178,384,487.04/18,678
  6. Step 6: Final answer
    x = 9,550.51

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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.