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Finding the Fourth Proportional to 13,963.20, 20,969.10 and 9,832.20

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Solution

The fourth proportional to 13,963.20, 20,969.10 and 9,832.20 is: 14,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.20 : 20,969.10 = 9,832.20 : x
  2. Step 2: Convert to fraction form
    13,963.20/20,969.10 = 9,832.20/x
  3. Step 3: Cross multiply
    13,963.20x = 20,969.10 × 9,832.20
  4. Step 4: Simplify right side
    13,963.20x = 206,172,385.02
  5. Step 5: Solve for x
    x = 206,172,385.02/13,963.20
  6. Step 6: Final answer
    x = 14,765.41

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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.