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Finding the Fourth Proportional to 12,229, 16,885.70 and 7,982.96

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Solution

The fourth proportional to 12,229, 16,885.70 and 7,982.96 is: 11,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229 : 16,885.70 = 7,982.96 : x
  2. Step 2: Convert to fraction form
    12,229/16,885.70 = 7,982.96/x
  3. Step 3: Cross multiply
    12,229x = 16,885.70 × 7,982.96
  4. Step 4: Simplify right side
    12,229x = 134,797,867.67
  5. Step 5: Solve for x
    x = 134,797,867.67/12,229
  6. Step 6: Final answer
    x = 11,022.80

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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.