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Finding the Fourth Proportional to 18,274.14, 27,401.82 and 8,914.56

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Solution

The fourth proportional to 18,274.14, 27,401.82 and 8,914.56 is: 13,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.14 : 27,401.82 = 8,914.56 : x
  2. Step 2: Convert to fraction form
    18,274.14/27,401.82 = 8,914.56/x
  3. Step 3: Cross multiply
    18,274.14x = 27,401.82 × 8,914.56
  4. Step 4: Simplify right side
    18,274.14x = 244,275,168.50
  5. Step 5: Solve for x
    x = 244,275,168.50/18,274.14
  6. Step 6: Final answer
    x = 13,367.26

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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.