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Finding the Fourth Proportional to 13,198.72, 19,800 and 3,963.52

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Solution

The fourth proportional to 13,198.72, 19,800 and 3,963.52 is: 5,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.72 : 19,800 = 3,963.52 : x
  2. Step 2: Convert to fraction form
    13,198.72/19,800 = 3,963.52/x
  3. Step 3: Cross multiply
    13,198.72x = 19,800 × 3,963.52
  4. Step 4: Simplify right side
    13,198.72x = 78,477,696
  5. Step 5: Solve for x
    x = 78,477,696/13,198.72
  6. Step 6: Final answer
    x = 5,945.86

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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.