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Finding the Fourth Proportional to 18,677.44, 27,997.26 and 12,107.80

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Solution

The fourth proportional to 18,677.44, 27,997.26 and 12,107.80 is: 18,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.44 : 27,997.26 = 12,107.80 : x
  2. Step 2: Convert to fraction form
    18,677.44/27,997.26 = 12,107.80/x
  3. Step 3: Cross multiply
    18,677.44x = 27,997.26 × 12,107.80
  4. Step 4: Simplify right side
    18,677.44x = 338,985,224.63
  5. Step 5: Solve for x
    x = 338,985,224.63/18,677.44
  6. Step 6: Final answer
    x = 18,149.45

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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.