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Finding the Fourth Proportional to 12,190.68, 16,822.20 and 6,885.96

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Solution

The fourth proportional to 12,190.68, 16,822.20 and 6,885.96 is: 9,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.68 : 16,822.20 = 6,885.96 : x
  2. Step 2: Convert to fraction form
    12,190.68/16,822.20 = 6,885.96/x
  3. Step 3: Cross multiply
    12,190.68x = 16,822.20 × 6,885.96
  4. Step 4: Simplify right side
    12,190.68x = 115,836,996.31
  5. Step 5: Solve for x
    x = 115,836,996.31/12,190.68
  6. Step 6: Final answer
    x = 9,502.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.