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Finding the Fourth Proportional to 18,414.24, 27,621.36 and 8,033.28

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Solution

The fourth proportional to 18,414.24, 27,621.36 and 8,033.28 is: 12,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.24 : 27,621.36 = 8,033.28 : x
  2. Step 2: Convert to fraction form
    18,414.24/27,621.36 = 8,033.28/x
  3. Step 3: Cross multiply
    18,414.24x = 27,621.36 × 8,033.28
  4. Step 4: Simplify right side
    18,414.24x = 221,890,118.86
  5. Step 5: Solve for x
    x = 221,890,118.86/18,414.24
  6. Step 6: Final answer
    x = 12,049.92

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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.