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Finding the Fourth Proportional to 19,175.44, 28,724.28 and 9,922

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Solution

The fourth proportional to 19,175.44, 28,724.28 and 9,922 is: 14,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,175.44 : 28,724.28 = 9,922 : x
  2. Step 2: Convert to fraction form
    19,175.44/28,724.28 = 9,922/x
  3. Step 3: Cross multiply
    19,175.44x = 28,724.28 × 9,922
  4. Step 4: Simplify right side
    19,175.44x = 285,002,306.16
  5. Step 5: Solve for x
    x = 285,002,306.16/19,175.44
  6. Step 6: Final answer
    x = 14,862.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.