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Finding the Fourth Proportional to 16,144.64, 24,224.27 and 8,243.09

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Solution

The fourth proportional to 16,144.64, 24,224.27 and 8,243.09 is: 12,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.64 : 24,224.27 = 8,243.09 : x
  2. Step 2: Convert to fraction form
    16,144.64/24,224.27 = 8,243.09/x
  3. Step 3: Cross multiply
    16,144.64x = 24,224.27 × 8,243.09
  4. Step 4: Simplify right side
    16,144.64x = 199,682,837.79
  5. Step 5: Solve for x
    x = 199,682,837.79/16,144.64
  6. Step 6: Final answer
    x = 12,368.37

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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.