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Finding the Fourth Proportional to 12,797.14, 19,198.32 and 5,401.60

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Solution

The fourth proportional to 12,797.14, 19,198.32 and 5,401.60 is: 8,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.14 : 19,198.32 = 5,401.60 : x
  2. Step 2: Convert to fraction form
    12,797.14/19,198.32 = 5,401.60/x
  3. Step 3: Cross multiply
    12,797.14x = 19,198.32 × 5,401.60
  4. Step 4: Simplify right side
    12,797.14x = 103,701,645.31
  5. Step 5: Solve for x
    x = 103,701,645.31/12,797.14
  6. Step 6: Final answer
    x = 8,103.50

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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.