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Finding the Fourth Proportional to 18,447.44, 27,651.72 and 9,194

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Solution

The fourth proportional to 18,447.44, 27,651.72 and 9,194 is: 13,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,447.44 : 27,651.72 = 9,194 : x
  2. Step 2: Convert to fraction form
    18,447.44/27,651.72 = 9,194/x
  3. Step 3: Cross multiply
    18,447.44x = 27,651.72 × 9,194
  4. Step 4: Simplify right side
    18,447.44x = 254,229,913.68
  5. Step 5: Solve for x
    x = 254,229,913.68/18,447.44
  6. Step 6: Final answer
    x = 13,781.31

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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.