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Finding the Fourth Proportional to 16,219.49, 22,379.06 and 9,144.54

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Solution

The fourth proportional to 16,219.49, 22,379.06 and 9,144.54 is: 12,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.49 : 22,379.06 = 9,144.54 : x
  2. Step 2: Convert to fraction form
    16,219.49/22,379.06 = 9,144.54/x
  3. Step 3: Cross multiply
    16,219.49x = 22,379.06 × 9,144.54
  4. Step 4: Simplify right side
    16,219.49x = 204,646,163.61
  5. Step 5: Solve for x
    x = 204,646,163.61/16,219.49
  6. Step 6: Final answer
    x = 12,617.30

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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.