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Finding the Fourth Proportional to 12,140.77, 18,198.19 and 8,667.49

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Solution

The fourth proportional to 12,140.77, 18,198.19 and 8,667.49 is: 12,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.77 : 18,198.19 = 8,667.49 : x
  2. Step 2: Convert to fraction form
    12,140.77/18,198.19 = 8,667.49/x
  3. Step 3: Cross multiply
    12,140.77x = 18,198.19 × 8,667.49
  4. Step 4: Simplify right side
    12,140.77x = 157,732,495.51
  5. Step 5: Solve for x
    x = 157,732,495.51/12,140.77
  6. Step 6: Final answer
    x = 12,991.97

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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.