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Finding the Fourth Proportional to 18,536.04, 27,784.62 and 8,667

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Solution

The fourth proportional to 18,536.04, 27,784.62 and 8,667 is: 12,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.04 : 27,784.62 = 8,667 : x
  2. Step 2: Convert to fraction form
    18,536.04/27,784.62 = 8,667/x
  3. Step 3: Cross multiply
    18,536.04x = 27,784.62 × 8,667
  4. Step 4: Simplify right side
    18,536.04x = 240,809,301.54
  5. Step 5: Solve for x
    x = 240,809,301.54/18,536.04
  6. Step 6: Final answer
    x = 12,991.41

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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.