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Finding the Fourth Proportional to 22,439.28, 33,659 and 6,856.84

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Solution

The fourth proportional to 22,439.28, 33,659 and 6,856.84 is: 10,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,439.28 : 33,659 = 6,856.84 : x
  2. Step 2: Convert to fraction form
    22,439.28/33,659 = 6,856.84/x
  3. Step 3: Cross multiply
    22,439.28x = 33,659 × 6,856.84
  4. Step 4: Simplify right side
    22,439.28x = 230,794,377.56
  5. Step 5: Solve for x
    x = 230,794,377.56/22,439.28
  6. Step 6: Final answer
    x = 10,285.28

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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.