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Finding the Fourth Proportional to 12,139.25, 18,208.89 and 6,941.48

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Solution

The fourth proportional to 12,139.25, 18,208.89 and 6,941.48 is: 10,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.25 : 18,208.89 = 6,941.48 : x
  2. Step 2: Convert to fraction form
    12,139.25/18,208.89 = 6,941.48/x
  3. Step 3: Cross multiply
    12,139.25x = 18,208.89 × 6,941.48
  4. Step 4: Simplify right side
    12,139.25x = 126,396,611.05
  5. Step 5: Solve for x
    x = 126,396,611.05/12,139.25
  6. Step 6: Final answer
    x = 10,412.23

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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.