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Finding the Fourth Proportional to 16,334.17, 22,539.78 and 9,163.09

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Solution

The fourth proportional to 16,334.17, 22,539.78 and 9,163.09 is: 12,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.17 : 22,539.78 = 9,163.09 : x
  2. Step 2: Convert to fraction form
    16,334.17/22,539.78 = 9,163.09/x
  3. Step 3: Cross multiply
    16,334.17x = 22,539.78 × 9,163.09
  4. Step 4: Simplify right side
    16,334.17x = 206,533,920.02
  5. Step 5: Solve for x
    x = 206,533,920.02/16,334.17
  6. Step 6: Final answer
    x = 12,644.29

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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.