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Finding the Fourth Proportional to 12,171.78, 18,209.64 and 9,218.76

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Solution

The fourth proportional to 12,171.78, 18,209.64 and 9,218.76 is: 13,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.78 : 18,209.64 = 9,218.76 : x
  2. Step 2: Convert to fraction form
    12,171.78/18,209.64 = 9,218.76/x
  3. Step 3: Cross multiply
    12,171.78x = 18,209.64 × 9,218.76
  4. Step 4: Simplify right side
    12,171.78x = 167,870,300.85
  5. Step 5: Solve for x
    x = 167,870,300.85/12,171.78
  6. Step 6: Final answer
    x = 13,791.76

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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.