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Finding the Fourth Proportional to 12,101.82, 18,144.93 and 5,086.38

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Solution

The fourth proportional to 12,101.82, 18,144.93 and 5,086.38 is: 7,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.82 : 18,144.93 = 5,086.38 : x
  2. Step 2: Convert to fraction form
    12,101.82/18,144.93 = 5,086.38/x
  3. Step 3: Cross multiply
    12,101.82x = 18,144.93 × 5,086.38
  4. Step 4: Simplify right side
    12,101.82x = 92,292,009.05
  5. Step 5: Solve for x
    x = 92,292,009.05/12,101.82
  6. Step 6: Final answer
    x = 7,626.29

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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.