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Finding the Fourth Proportional to 12,318.40, 16,997.68 and 7,012.96

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Solution

The fourth proportional to 12,318.40, 16,997.68 and 7,012.96 is: 9,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.40 : 16,997.68 = 7,012.96 : x
  2. Step 2: Convert to fraction form
    12,318.40/16,997.68 = 7,012.96/x
  3. Step 3: Cross multiply
    12,318.40x = 16,997.68 × 7,012.96
  4. Step 4: Simplify right side
    12,318.40x = 119,204,049.93
  5. Step 5: Solve for x
    x = 119,204,049.93/12,318.40
  6. Step 6: Final answer
    x = 9,676.91

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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.