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Finding the Fourth Proportional to 13,463.52, 20,194.24 and 5,969.44

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Solution

The fourth proportional to 13,463.52, 20,194.24 and 5,969.44 is: 8,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.52 : 20,194.24 = 5,969.44 : x
  2. Step 2: Convert to fraction form
    13,463.52/20,194.24 = 5,969.44/x
  3. Step 3: Cross multiply
    13,463.52x = 20,194.24 × 5,969.44
  4. Step 4: Simplify right side
    13,463.52x = 120,548,304.03
  5. Step 5: Solve for x
    x = 120,548,304.03/13,463.52
  6. Step 6: Final answer
    x = 8,953.70

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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.