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Finding the Fourth Proportional to 22,380.42, 33,571.38 and 6,798

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Solution

The fourth proportional to 22,380.42, 33,571.38 and 6,798 is: 10,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.42 : 33,571.38 = 6,798 : x
  2. Step 2: Convert to fraction form
    22,380.42/33,571.38 = 6,798/x
  3. Step 3: Cross multiply
    22,380.42x = 33,571.38 × 6,798
  4. Step 4: Simplify right side
    22,380.42x = 228,218,241.24
  5. Step 5: Solve for x
    x = 228,218,241.24/22,380.42
  6. Step 6: Final answer
    x = 10,197.23

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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.