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Finding the Fourth Proportional to 16,249.41, 22,424.15 and 9,175.84

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Solution

The fourth proportional to 16,249.41, 22,424.15 and 9,175.84 is: 12,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.41 : 22,424.15 = 9,175.84 : x
  2. Step 2: Convert to fraction form
    16,249.41/22,424.15 = 9,175.84/x
  3. Step 3: Cross multiply
    16,249.41x = 22,424.15 × 9,175.84
  4. Step 4: Simplify right side
    16,249.41x = 205,760,379.42
  5. Step 5: Solve for x
    x = 205,760,379.42/16,249.41
  6. Step 6: Final answer
    x = 12,662.64

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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.