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Finding the Fourth Proportional to 11,996.75, 18,001.41 and 8,509.23

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Solution

The fourth proportional to 11,996.75, 18,001.41 and 8,509.23 is: 12,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.75 : 18,001.41 = 8,509.23 : x
  2. Step 2: Convert to fraction form
    11,996.75/18,001.41 = 8,509.23/x
  3. Step 3: Cross multiply
    11,996.75x = 18,001.41 × 8,509.23
  4. Step 4: Simplify right side
    11,996.75x = 153,178,138.01
  5. Step 5: Solve for x
    x = 153,178,138.01/11,996.75
  6. Step 6: Final answer
    x = 12,768.31

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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.