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Finding the Fourth Proportional to 21,796.53, 32,694.80 and 6,213.75

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Solution

The fourth proportional to 21,796.53, 32,694.80 and 6,213.75 is: 9,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.53 : 32,694.80 = 6,213.75 : x
  2. Step 2: Convert to fraction form
    21,796.53/32,694.80 = 6,213.75/x
  3. Step 3: Cross multiply
    21,796.53x = 32,694.80 × 6,213.75
  4. Step 4: Simplify right side
    21,796.53x = 203,157,282.43
  5. Step 5: Solve for x
    x = 203,157,282.43/21,796.53
  6. Step 6: Final answer
    x = 9,320.63

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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.