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Finding the Fourth Proportional to 12,005.82, 18,004.84 and 3,998.45

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Solution

The fourth proportional to 12,005.82, 18,004.84 and 3,998.45 is: 5,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.82 : 18,004.84 = 3,998.45 : x
  2. Step 2: Convert to fraction form
    12,005.82/18,004.84 = 3,998.45/x
  3. Step 3: Cross multiply
    12,005.82x = 18,004.84 × 3,998.45
  4. Step 4: Simplify right side
    12,005.82x = 71,991,487.51
  5. Step 5: Solve for x
    x = 71,991,487.51/12,005.82
  6. Step 6: Final answer
    x = 5,996.38

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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.