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Finding the Fourth Proportional to 20,859.12, 28,775.96 and 12,022

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Solution

The fourth proportional to 20,859.12, 28,775.96 and 12,022 is: 16,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.12 : 28,775.96 = 12,022 : x
  2. Step 2: Convert to fraction form
    20,859.12/28,775.96 = 12,022/x
  3. Step 3: Cross multiply
    20,859.12x = 28,775.96 × 12,022
  4. Step 4: Simplify right side
    20,859.12x = 345,944,591.12
  5. Step 5: Solve for x
    x = 345,944,591.12/20,859.12
  6. Step 6: Final answer
    x = 16,584.81

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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.