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Finding the Fourth Proportional to 12,171.69, 18,238.64 and 9,241.11

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Solution

The fourth proportional to 12,171.69, 18,238.64 and 9,241.11 is: 13,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.69 : 18,238.64 = 9,241.11 : x
  2. Step 2: Convert to fraction form
    12,171.69/18,238.64 = 9,241.11/x
  3. Step 3: Cross multiply
    12,171.69x = 18,238.64 × 9,241.11
  4. Step 4: Simplify right side
    12,171.69x = 168,545,232.28
  5. Step 5: Solve for x
    x = 168,545,232.28/12,171.69
  6. Step 6: Final answer
    x = 13,847.32

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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.