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Finding the Fourth Proportional to 12,206.98, 18,309.21 and 8,283.43

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Solution

The fourth proportional to 12,206.98, 18,309.21 and 8,283.43 is: 12,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.98 : 18,309.21 = 8,283.43 : x
  2. Step 2: Convert to fraction form
    12,206.98/18,309.21 = 8,283.43/x
  3. Step 3: Cross multiply
    12,206.98x = 18,309.21 × 8,283.43
  4. Step 4: Simplify right side
    12,206.98x = 151,663,059.39
  5. Step 5: Solve for x
    x = 151,663,059.39/12,206.98
  6. Step 6: Final answer
    x = 12,424.29

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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.