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Finding the Fourth Proportional to 18,192, 27,296.64 and 5,880

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Solution

The fourth proportional to 18,192, 27,296.64 and 5,880 is: 8,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,192 : 27,296.64 = 5,880 : x
  2. Step 2: Convert to fraction form
    18,192/27,296.64 = 5,880/x
  3. Step 3: Cross multiply
    18,192x = 27,296.64 × 5,880
  4. Step 4: Simplify right side
    18,192x = 160,504,243.20
  5. Step 5: Solve for x
    x = 160,504,243.20/18,192
  6. Step 6: Final answer
    x = 8,822.79

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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.