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Finding the Fourth Proportional to 12,021.75, 16,589.98 and 7,244.44

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Solution

The fourth proportional to 12,021.75, 16,589.98 and 7,244.44 is: 9,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.75 : 16,589.98 = 7,244.44 : x
  2. Step 2: Convert to fraction form
    12,021.75/16,589.98 = 7,244.44/x
  3. Step 3: Cross multiply
    12,021.75x = 16,589.98 × 7,244.44
  4. Step 4: Simplify right side
    12,021.75x = 120,185,040.27
  5. Step 5: Solve for x
    x = 120,185,040.27/12,021.75
  6. Step 6: Final answer
    x = 9,997.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.