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Finding the Fourth Proportional to 12,213.84, 18,321.84 and 6,664.80

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Solution

The fourth proportional to 12,213.84, 18,321.84 and 6,664.80 is: 9,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.84 : 18,321.84 = 6,664.80 : x
  2. Step 2: Convert to fraction form
    12,213.84/18,321.84 = 6,664.80/x
  3. Step 3: Cross multiply
    12,213.84x = 18,321.84 × 6,664.80
  4. Step 4: Simplify right side
    12,213.84x = 122,111,399.23
  5. Step 5: Solve for x
    x = 122,111,399.23/12,213.84
  6. Step 6: Final answer
    x = 9,997.79

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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.