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Finding the Fourth Proportional to 20,634.80, 30,956.52 and 6,782

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Solution

The fourth proportional to 20,634.80, 30,956.52 and 6,782 is: 10,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.80 : 30,956.52 = 6,782 : x
  2. Step 2: Convert to fraction form
    20,634.80/30,956.52 = 6,782/x
  3. Step 3: Cross multiply
    20,634.80x = 30,956.52 × 6,782
  4. Step 4: Simplify right side
    20,634.80x = 209,947,118.64
  5. Step 5: Solve for x
    x = 209,947,118.64/20,634.80
  6. Step 6: Final answer
    x = 10,174.42

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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.