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Finding the Fourth Proportional to 22,634.94, 33,952.84 and 7,844.34

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Solution

The fourth proportional to 22,634.94, 33,952.84 and 7,844.34 is: 11,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.94 : 33,952.84 = 7,844.34 : x
  2. Step 2: Convert to fraction form
    22,634.94/33,952.84 = 7,844.34/x
  3. Step 3: Cross multiply
    22,634.94x = 33,952.84 × 7,844.34
  4. Step 4: Simplify right side
    22,634.94x = 266,337,728.64
  5. Step 5: Solve for x
    x = 266,337,728.64/22,634.94
  6. Step 6: Final answer
    x = 11,766.66

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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.