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Finding the Fourth Proportional to 16,906.37, 23,329.77 and 10,194.17

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Solution

The fourth proportional to 16,906.37, 23,329.77 and 10,194.17 is: 14,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.37 : 23,329.77 = 10,194.17 : x
  2. Step 2: Convert to fraction form
    16,906.37/23,329.77 = 10,194.17/x
  3. Step 3: Cross multiply
    16,906.37x = 23,329.77 × 10,194.17
  4. Step 4: Simplify right side
    16,906.37x = 237,827,641.44
  5. Step 5: Solve for x
    x = 237,827,641.44/16,906.37
  6. Step 6: Final answer
    x = 14,067.34

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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.