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Finding the Fourth Proportional to 16,906.20, 25,366.44 and 9,105.84

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Solution

The fourth proportional to 16,906.20, 25,366.44 and 9,105.84 is: 13,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.20 : 25,366.44 = 9,105.84 : x
  2. Step 2: Convert to fraction form
    16,906.20/25,366.44 = 9,105.84/x
  3. Step 3: Cross multiply
    16,906.20x = 25,366.44 × 9,105.84
  4. Step 4: Simplify right side
    16,906.20x = 230,982,744.01
  5. Step 5: Solve for x
    x = 230,982,744.01/16,906.20
  6. Step 6: Final answer
    x = 13,662.61

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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.