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Finding the Fourth Proportional to 18,231.24, 27,332.04 and 7,694.46

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Solution

The fourth proportional to 18,231.24, 27,332.04 and 7,694.46 is: 11,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.24 : 27,332.04 = 7,694.46 : x
  2. Step 2: Convert to fraction form
    18,231.24/27,332.04 = 7,694.46/x
  3. Step 3: Cross multiply
    18,231.24x = 27,332.04 × 7,694.46
  4. Step 4: Simplify right side
    18,231.24x = 210,305,288.50
  5. Step 5: Solve for x
    x = 210,305,288.50/18,231.24
  6. Step 6: Final answer
    x = 11,535.44

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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.