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Finding the Fourth Proportional to 13,963.16, 20,939.20 and 6,166.50

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Solution

The fourth proportional to 13,963.16, 20,939.20 and 6,166.50 is: 9,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.16 : 20,939.20 = 6,166.50 : x
  2. Step 2: Convert to fraction form
    13,963.16/20,939.20 = 6,166.50/x
  3. Step 3: Cross multiply
    13,963.16x = 20,939.20 × 6,166.50
  4. Step 4: Simplify right side
    13,963.16x = 129,121,576.80
  5. Step 5: Solve for x
    x = 129,121,576.80/13,963.16
  6. Step 6: Final answer
    x = 9,247.30

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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.