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Finding the Fourth Proportional to 22,902.71, 34,355.72 and 7,105.73

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Solution

The fourth proportional to 22,902.71, 34,355.72 and 7,105.73 is: 10,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.71 : 34,355.72 = 7,105.73 : x
  2. Step 2: Convert to fraction form
    22,902.71/34,355.72 = 7,105.73/x
  3. Step 3: Cross multiply
    22,902.71x = 34,355.72 × 7,105.73
  4. Step 4: Simplify right side
    22,902.71x = 244,122,316.26
  5. Step 5: Solve for x
    x = 244,122,316.26/22,902.71
  6. Step 6: Final answer
    x = 10,659.10

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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.