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Finding the Fourth Proportional to 12,796.28, 19,198.23 and 9,246.42

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Solution

The fourth proportional to 12,796.28, 19,198.23 and 9,246.42 is: 13,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.28 : 19,198.23 = 9,246.42 : x
  2. Step 2: Convert to fraction form
    12,796.28/19,198.23 = 9,246.42/x
  3. Step 3: Cross multiply
    12,796.28x = 19,198.23 × 9,246.42
  4. Step 4: Simplify right side
    12,796.28x = 177,515,004.50
  5. Step 5: Solve for x
    x = 177,515,004.50/12,796.28
  6. Step 6: Final answer
    x = 13,872.39

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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.