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Finding the Fourth Proportional to 16,067.28, 22,172.88 and 8,994

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Solution

The fourth proportional to 16,067.28, 22,172.88 and 8,994 is: 12,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.28 : 22,172.88 = 8,994 : x
  2. Step 2: Convert to fraction form
    16,067.28/22,172.88 = 8,994/x
  3. Step 3: Cross multiply
    16,067.28x = 22,172.88 × 8,994
  4. Step 4: Simplify right side
    16,067.28x = 199,422,882.72
  5. Step 5: Solve for x
    x = 199,422,882.72/16,067.28
  6. Step 6: Final answer
    x = 12,411.74

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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.