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Finding the Fourth Proportional to 12,666.35, 18,996.27 and 5,996.27

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Solution

The fourth proportional to 12,666.35, 18,996.27 and 5,996.27 is: 8,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.35 : 18,996.27 = 5,996.27 : x
  2. Step 2: Convert to fraction form
    12,666.35/18,996.27 = 5,996.27/x
  3. Step 3: Cross multiply
    12,666.35x = 18,996.27 × 5,996.27
  4. Step 4: Simplify right side
    12,666.35x = 113,906,763.91
  5. Step 5: Solve for x
    x = 113,906,763.91/12,666.35
  6. Step 6: Final answer
    x = 8,992.86

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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.