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Finding the Fourth Proportional to 22,489.28, 33,738.88 and 6,906.50

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Solution

The fourth proportional to 22,489.28, 33,738.88 and 6,906.50 is: 10,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.28 : 33,738.88 = 6,906.50 : x
  2. Step 2: Convert to fraction form
    22,489.28/33,738.88 = 6,906.50/x
  3. Step 3: Cross multiply
    22,489.28x = 33,738.88 × 6,906.50
  4. Step 4: Simplify right side
    22,489.28x = 233,017,574.72
  5. Step 5: Solve for x
    x = 233,017,574.72/22,489.28
  6. Step 6: Final answer
    x = 10,361.27

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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.