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Finding the Fourth Proportional to 13,964.08, 20,949.56 and 6,947.42

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Solution

The fourth proportional to 13,964.08, 20,949.56 and 6,947.42 is: 10,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.08 : 20,949.56 = 6,947.42 : x
  2. Step 2: Convert to fraction form
    13,964.08/20,949.56 = 6,947.42/x
  3. Step 3: Cross multiply
    13,964.08x = 20,949.56 × 6,947.42
  4. Step 4: Simplify right side
    13,964.08x = 145,545,392.14
  5. Step 5: Solve for x
    x = 145,545,392.14/13,964.08
  6. Step 6: Final answer
    x = 10,422.84

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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.