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Finding the Fourth Proportional to 19,906.73, 29,861 and 18,949.17

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Solution

The fourth proportional to 19,906.73, 29,861 and 18,949.17 is: 28,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.73 : 29,861 = 18,949.17 : x
  2. Step 2: Convert to fraction form
    19,906.73/29,861 = 18,949.17/x
  3. Step 3: Cross multiply
    19,906.73x = 29,861 × 18,949.17
  4. Step 4: Simplify right side
    19,906.73x = 565,841,165.37
  5. Step 5: Solve for x
    x = 565,841,165.37/19,906.73
  6. Step 6: Final answer
    x = 28,424.62

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Why These Related Problems?

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