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Finding the Fourth Proportional to 20,651.35, 30,992.61 and 9,565.82

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Solution

The fourth proportional to 20,651.35, 30,992.61 and 9,565.82 is: 14,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.35 : 30,992.61 = 9,565.82 : x
  2. Step 2: Convert to fraction form
    20,651.35/30,992.61 = 9,565.82/x
  3. Step 3: Cross multiply
    20,651.35x = 30,992.61 × 9,565.82
  4. Step 4: Simplify right side
    20,651.35x = 296,469,728.59
  5. Step 5: Solve for x
    x = 296,469,728.59/20,651.35
  6. Step 6: Final answer
    x = 14,355.95

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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.