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Finding the Fourth Proportional to 12,231.70, 18,343.83 and 6,683.98

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Solution

The fourth proportional to 12,231.70, 18,343.83 and 6,683.98 is: 10,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.70 : 18,343.83 = 6,683.98 : x
  2. Step 2: Convert to fraction form
    12,231.70/18,343.83 = 6,683.98/x
  3. Step 3: Cross multiply
    12,231.70x = 18,343.83 × 6,683.98
  4. Step 4: Simplify right side
    12,231.70x = 122,609,792.84
  5. Step 5: Solve for x
    x = 122,609,792.84/12,231.70
  6. Step 6: Final answer
    x = 10,023.94

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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.