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Finding the Fourth Proportional to 16,997.88, 25,478.59 and 8,213.43

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Solution

The fourth proportional to 16,997.88, 25,478.59 and 8,213.43 is: 12,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.88 : 25,478.59 = 8,213.43 : x
  2. Step 2: Convert to fraction form
    16,997.88/25,478.59 = 8,213.43/x
  3. Step 3: Cross multiply
    16,997.88x = 25,478.59 × 8,213.43
  4. Step 4: Simplify right side
    16,997.88x = 209,266,447.00
  5. Step 5: Solve for x
    x = 209,266,447.00/16,997.88
  6. Step 6: Final answer
    x = 12,311.33

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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.