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Finding the Fourth Proportional to 12,171.74, 18,233.91 and 7,999.16

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Solution

The fourth proportional to 12,171.74, 18,233.91 and 7,999.16 is: 11,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.74 : 18,233.91 = 7,999.16 : x
  2. Step 2: Convert to fraction form
    12,171.74/18,233.91 = 7,999.16/x
  3. Step 3: Cross multiply
    12,171.74x = 18,233.91 × 7,999.16
  4. Step 4: Simplify right side
    12,171.74x = 145,855,872.35
  5. Step 5: Solve for x
    x = 145,855,872.35/12,171.74
  6. Step 6: Final answer
    x = 11,983.16

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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.