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Finding the Fourth Proportional to 16,715.62, 23,067.84 and 9,161.80

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Solution

The fourth proportional to 16,715.62, 23,067.84 and 9,161.80 is: 12,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715.62 : 23,067.84 = 9,161.80 : x
  2. Step 2: Convert to fraction form
    16,715.62/23,067.84 = 9,161.80/x
  3. Step 3: Cross multiply
    16,715.62x = 23,067.84 × 9,161.80
  4. Step 4: Simplify right side
    16,715.62x = 211,342,936.51
  5. Step 5: Solve for x
    x = 211,342,936.51/16,715.62
  6. Step 6: Final answer
    x = 12,643.44

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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.