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Finding the Fourth Proportional to 22,474, 33,716.40 and 8,623

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Solution

The fourth proportional to 22,474, 33,716.40 and 8,623 is: 12,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474 : 33,716.40 = 8,623 : x
  2. Step 2: Convert to fraction form
    22,474/33,716.40 = 8,623/x
  3. Step 3: Cross multiply
    22,474x = 33,716.40 × 8,623
  4. Step 4: Simplify right side
    22,474x = 290,736,517.20
  5. Step 5: Solve for x
    x = 290,736,517.20/22,474
  6. Step 6: Final answer
    x = 12,936.57

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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.