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Finding the Fourth Proportional to 18,304, 27,456.24 and 5,992

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Solution

The fourth proportional to 18,304, 27,456.24 and 5,992 is: 8,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,304 : 27,456.24 = 5,992 : x
  2. Step 2: Convert to fraction form
    18,304/27,456.24 = 5,992/x
  3. Step 3: Cross multiply
    18,304x = 27,456.24 × 5,992
  4. Step 4: Simplify right side
    18,304x = 164,517,790.08
  5. Step 5: Solve for x
    x = 164,517,790.08/18,304
  6. Step 6: Final answer
    x = 8,988.08

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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.