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Finding the Fourth Proportional to 22,606.92, 33,902.28 and 7,812

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Solution

The fourth proportional to 22,606.92, 33,902.28 and 7,812 is: 11,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.92 : 33,902.28 = 7,812 : x
  2. Step 2: Convert to fraction form
    22,606.92/33,902.28 = 7,812/x
  3. Step 3: Cross multiply
    22,606.92x = 33,902.28 × 7,812
  4. Step 4: Simplify right side
    22,606.92x = 264,844,611.36
  5. Step 5: Solve for x
    x = 264,844,611.36/22,606.92
  6. Step 6: Final answer
    x = 11,715.20

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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.