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Finding the Fourth Proportional to 16,141.42, 22,277.24 and 9,067.85

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Solution

The fourth proportional to 16,141.42, 22,277.24 and 9,067.85 is: 12,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.42 : 22,277.24 = 9,067.85 : x
  2. Step 2: Convert to fraction form
    16,141.42/22,277.24 = 9,067.85/x
  3. Step 3: Cross multiply
    16,141.42x = 22,277.24 × 9,067.85
  4. Step 4: Simplify right side
    16,141.42x = 202,006,670.73
  5. Step 5: Solve for x
    x = 202,006,670.73/16,141.42
  6. Step 6: Final answer
    x = 12,514.80

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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.