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Finding the Fourth Proportional to 18,078.36, 27,114.84 and 6,234

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Solution

The fourth proportional to 18,078.36, 27,114.84 and 6,234 is: 9,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.36 : 27,114.84 = 6,234 : x
  2. Step 2: Convert to fraction form
    18,078.36/27,114.84 = 6,234/x
  3. Step 3: Cross multiply
    18,078.36x = 27,114.84 × 6,234
  4. Step 4: Simplify right side
    18,078.36x = 169,033,912.56
  5. Step 5: Solve for x
    x = 169,033,912.56/18,078.36
  6. Step 6: Final answer
    x = 9,350.07

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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.