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Finding the Fourth Proportional to 13,201.92, 19,805.34 and 4,198.32

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Solution

The fourth proportional to 13,201.92, 19,805.34 and 4,198.32 is: 6,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.92 : 19,805.34 = 4,198.32 : x
  2. Step 2: Convert to fraction form
    13,201.92/19,805.34 = 4,198.32/x
  3. Step 3: Cross multiply
    13,201.92x = 19,805.34 × 4,198.32
  4. Step 4: Simplify right side
    13,201.92x = 83,149,155.03
  5. Step 5: Solve for x
    x = 83,149,155.03/13,201.92
  6. Step 6: Final answer
    x = 6,298.26

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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.