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Finding the Fourth Proportional to 16,205.94, 24,309.02 and 4,519.26

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Solution

The fourth proportional to 16,205.94, 24,309.02 and 4,519.26 is: 6,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.94 : 24,309.02 = 4,519.26 : x
  2. Step 2: Convert to fraction form
    16,205.94/24,309.02 = 4,519.26/x
  3. Step 3: Cross multiply
    16,205.94x = 24,309.02 × 4,519.26
  4. Step 4: Simplify right side
    16,205.94x = 109,858,781.73
  5. Step 5: Solve for x
    x = 109,858,781.73/16,205.94
  6. Step 6: Final answer
    x = 6,778.92

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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.