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Finding the Fourth Proportional to 12,230.70, 18,342.33 and 6,682.98

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Solution

The fourth proportional to 12,230.70, 18,342.33 and 6,682.98 is: 10,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.70 : 18,342.33 = 6,682.98 : x
  2. Step 2: Convert to fraction form
    12,230.70/18,342.33 = 6,682.98/x
  3. Step 3: Cross multiply
    12,230.70x = 18,342.33 × 6,682.98
  4. Step 4: Simplify right side
    12,230.70x = 122,581,424.54
  5. Step 5: Solve for x
    x = 122,581,424.54/12,230.70
  6. Step 6: Final answer
    x = 10,022.44

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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.