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Finding the Fourth Proportional to 22,318.84, 33,477.30 and 6,736

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Solution

The fourth proportional to 22,318.84, 33,477.30 and 6,736 is: 10,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.84 : 33,477.30 = 6,736 : x
  2. Step 2: Convert to fraction form
    22,318.84/33,477.30 = 6,736/x
  3. Step 3: Cross multiply
    22,318.84x = 33,477.30 × 6,736
  4. Step 4: Simplify right side
    22,318.84x = 225,503,092.80
  5. Step 5: Solve for x
    x = 225,503,092.80/22,318.84
  6. Step 6: Final answer
    x = 10,103.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.