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Finding the Fourth Proportional to 12,996.45, 19,496.73 and 4,229.31

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Solution

The fourth proportional to 12,996.45, 19,496.73 and 4,229.31 is: 6,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.45 : 19,496.73 = 4,229.31 : x
  2. Step 2: Convert to fraction form
    12,996.45/19,496.73 = 4,229.31/x
  3. Step 3: Cross multiply
    12,996.45x = 19,496.73 × 4,229.31
  4. Step 4: Simplify right side
    12,996.45x = 82,457,715.16
  5. Step 5: Solve for x
    x = 82,457,715.16/12,996.45
  6. Step 6: Final answer
    x = 6,344.63

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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.