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Finding the Fourth Proportional to 12,238.69, 18,354.09 and 3,471.25

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Solution

The fourth proportional to 12,238.69, 18,354.09 and 3,471.25 is: 5,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.69 : 18,354.09 = 3,471.25 : x
  2. Step 2: Convert to fraction form
    12,238.69/18,354.09 = 3,471.25/x
  3. Step 3: Cross multiply
    12,238.69x = 18,354.09 × 3,471.25
  4. Step 4: Simplify right side
    12,238.69x = 63,711,634.91
  5. Step 5: Solve for x
    x = 63,711,634.91/12,238.69
  6. Step 6: Final answer
    x = 5,205.76

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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.