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Finding the Fourth Proportional to 12,963.35, 19,448.09 and 4,198.25

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Solution

The fourth proportional to 12,963.35, 19,448.09 and 4,198.25 is: 6,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.35 : 19,448.09 = 4,198.25 : x
  2. Step 2: Convert to fraction form
    12,963.35/19,448.09 = 4,198.25/x
  3. Step 3: Cross multiply
    12,963.35x = 19,448.09 × 4,198.25
  4. Step 4: Simplify right side
    12,963.35x = 81,647,825.61
  5. Step 5: Solve for x
    x = 81,647,825.61/12,963.35
  6. Step 6: Final answer
    x = 6,298.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.