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Finding the Fourth Proportional to 12,102.44, 18,149.09 and 4,705.97

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Solution

The fourth proportional to 12,102.44, 18,149.09 and 4,705.97 is: 7,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.44 : 18,149.09 = 4,705.97 : x
  2. Step 2: Convert to fraction form
    12,102.44/18,149.09 = 4,705.97/x
  3. Step 3: Cross multiply
    12,102.44x = 18,149.09 × 4,705.97
  4. Step 4: Simplify right side
    12,102.44x = 85,408,958.79
  5. Step 5: Solve for x
    x = 85,408,958.79/12,102.44
  6. Step 6: Final answer
    x = 7,057.17

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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.