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Finding the Fourth Proportional to 22,596, 33,887.16 and 6,796.84

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Solution

The fourth proportional to 22,596, 33,887.16 and 6,796.84 is: 10,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596 : 33,887.16 = 6,796.84 : x
  2. Step 2: Convert to fraction form
    22,596/33,887.16 = 6,796.84/x
  3. Step 3: Cross multiply
    22,596x = 33,887.16 × 6,796.84
  4. Step 4: Simplify right side
    22,596x = 230,325,604.57
  5. Step 5: Solve for x
    x = 230,325,604.57/22,596
  6. Step 6: Final answer
    x = 10,193.20

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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.