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Finding the Fourth Proportional to 13,796.12, 20,694.98 and 3,934.64

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Solution

The fourth proportional to 13,796.12, 20,694.98 and 3,934.64 is: 5,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.12 : 20,694.98 = 3,934.64 : x
  2. Step 2: Convert to fraction form
    13,796.12/20,694.98 = 3,934.64/x
  3. Step 3: Cross multiply
    13,796.12x = 20,694.98 × 3,934.64
  4. Step 4: Simplify right side
    13,796.12x = 81,427,296.11
  5. Step 5: Solve for x
    x = 81,427,296.11/13,796.12
  6. Step 6: Final answer
    x = 5,902.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.