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Finding the Fourth Proportional to 16,138.36, 22,220.31 and 14,662.09

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Solution

The fourth proportional to 16,138.36, 22,220.31 and 14,662.09 is: 20,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.36 : 22,220.31 = 14,662.09 : x
  2. Step 2: Convert to fraction form
    16,138.36/22,220.31 = 14,662.09/x
  3. Step 3: Cross multiply
    16,138.36x = 22,220.31 × 14,662.09
  4. Step 4: Simplify right side
    16,138.36x = 325,796,185.05
  5. Step 5: Solve for x
    x = 325,796,185.05/16,138.36
  6. Step 6: Final answer
    x = 20,187.69

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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.