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Finding the Fourth Proportional to 16,049.85, 22,149.98 and 9,245.06

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Solution

The fourth proportional to 16,049.85, 22,149.98 and 9,245.06 is: 12,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.85 : 22,149.98 = 9,245.06 : x
  2. Step 2: Convert to fraction form
    16,049.85/22,149.98 = 9,245.06/x
  3. Step 3: Cross multiply
    16,049.85x = 22,149.98 × 9,245.06
  4. Step 4: Simplify right side
    16,049.85x = 204,777,737.12
  5. Step 5: Solve for x
    x = 204,777,737.12/16,049.85
  6. Step 6: Final answer
    x = 12,758.86

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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.