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Finding the Fourth Proportional to 18,474.94, 27,723.44 and 6,789.34

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Solution

The fourth proportional to 18,474.94, 27,723.44 and 6,789.34 is: 10,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474.94 : 27,723.44 = 6,789.34 : x
  2. Step 2: Convert to fraction form
    18,474.94/27,723.44 = 6,789.34/x
  3. Step 3: Cross multiply
    18,474.94x = 27,723.44 × 6,789.34
  4. Step 4: Simplify right side
    18,474.94x = 188,223,860.13
  5. Step 5: Solve for x
    x = 188,223,860.13/18,474.94
  6. Step 6: Final answer
    x = 10,188.06

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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.