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Finding the Fourth Proportional to 16,067.70, 24,082.92 and 9,499.41

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Solution

The fourth proportional to 16,067.70, 24,082.92 and 9,499.41 is: 14,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.70 : 24,082.92 = 9,499.41 : x
  2. Step 2: Convert to fraction form
    16,067.70/24,082.92 = 9,499.41/x
  3. Step 3: Cross multiply
    16,067.70x = 24,082.92 × 9,499.41
  4. Step 4: Simplify right side
    16,067.70x = 228,773,531.08
  5. Step 5: Solve for x
    x = 228,773,531.08/16,067.70
  6. Step 6: Final answer
    x = 14,238.10

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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.