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Finding the Fourth Proportional to 18,216, 27,323.52 and 5,067.84

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Solution

The fourth proportional to 18,216, 27,323.52 and 5,067.84 is: 7,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,216 : 27,323.52 = 5,067.84 : x
  2. Step 2: Convert to fraction form
    18,216/27,323.52 = 5,067.84/x
  3. Step 3: Cross multiply
    18,216x = 27,323.52 × 5,067.84
  4. Step 4: Simplify right side
    18,216x = 138,471,227.60
  5. Step 5: Solve for x
    x = 138,471,227.60/18,216
  6. Step 6: Final answer
    x = 7,601.63

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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.