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Finding the Fourth Proportional to 13,201.92, 19,805.31 and 5,416.20

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Solution

The fourth proportional to 13,201.92, 19,805.31 and 5,416.20 is: 8,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.92 : 19,805.31 = 5,416.20 : x
  2. Step 2: Convert to fraction form
    13,201.92/19,805.31 = 5,416.20/x
  3. Step 3: Cross multiply
    13,201.92x = 19,805.31 × 5,416.20
  4. Step 4: Simplify right side
    13,201.92x = 107,269,520.02
  5. Step 5: Solve for x
    x = 107,269,520.02/13,201.92
  6. Step 6: Final answer
    x = 8,125.30

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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.