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Finding the Fourth Proportional to 16,715.97, 23,067.59 and 9,641.97

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Solution

The fourth proportional to 16,715.97, 23,067.59 and 9,641.97 is: 13,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715.97 : 23,067.59 = 9,641.97 : x
  2. Step 2: Convert to fraction form
    16,715.97/23,067.59 = 9,641.97/x
  3. Step 3: Cross multiply
    16,715.97x = 23,067.59 × 9,641.97
  4. Step 4: Simplify right side
    16,715.97x = 222,416,962.54
  5. Step 5: Solve for x
    x = 222,416,962.54/16,715.97
  6. Step 6: Final answer
    x = 13,305.66

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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.