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Finding the Fourth Proportional to 19,872.98, 27,418.73 and 11,912.30

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Solution

The fourth proportional to 19,872.98, 27,418.73 and 11,912.30 is: 16,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.98 : 27,418.73 = 11,912.30 : x
  2. Step 2: Convert to fraction form
    19,872.98/27,418.73 = 11,912.30/x
  3. Step 3: Cross multiply
    19,872.98x = 27,418.73 × 11,912.30
  4. Step 4: Simplify right side
    19,872.98x = 326,619,940.72
  5. Step 5: Solve for x
    x = 326,619,940.72/19,872.98
  6. Step 6: Final answer
    x = 16,435.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.