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Finding the Fourth Proportional to 10,906.26, 16,345.44 and 9,494.88

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Solution

The fourth proportional to 10,906.26, 16,345.44 and 9,494.88 is: 14,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.26 : 16,345.44 = 9,494.88 : x
  2. Step 2: Convert to fraction form
    10,906.26/16,345.44 = 9,494.88/x
  3. Step 3: Cross multiply
    10,906.26x = 16,345.44 × 9,494.88
  4. Step 4: Simplify right side
    10,906.26x = 155,197,991.35
  5. Step 5: Solve for x
    x = 155,197,991.35/10,906.26
  6. Step 6: Final answer
    x = 14,230.18

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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.