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Finding the Fourth Proportional to 12,171.30, 18,265.05 and 6,906.30

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Solution

The fourth proportional to 12,171.30, 18,265.05 and 6,906.30 is: 10,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.30 : 18,265.05 = 6,906.30 : x
  2. Step 2: Convert to fraction form
    12,171.30/18,265.05 = 6,906.30/x
  3. Step 3: Cross multiply
    12,171.30x = 18,265.05 × 6,906.30
  4. Step 4: Simplify right side
    12,171.30x = 126,143,914.82
  5. Step 5: Solve for x
    x = 126,143,914.82/12,171.30
  6. Step 6: Final answer
    x = 10,364.05

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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.