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Finding the Fourth Proportional to 10,027.44, 13,806.96 and 8,906.43

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Solution

The fourth proportional to 10,027.44, 13,806.96 and 8,906.43 is: 12,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.44 : 13,806.96 = 8,906.43 : x
  2. Step 2: Convert to fraction form
    10,027.44/13,806.96 = 8,906.43/x
  3. Step 3: Cross multiply
    10,027.44x = 13,806.96 × 8,906.43
  4. Step 4: Simplify right side
    10,027.44x = 122,970,678.22
  5. Step 5: Solve for x
    x = 122,970,678.22/10,027.44
  6. Step 6: Final answer
    x = 12,263.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.