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Finding the Fourth Proportional to 20,575.20, 30,844.77 and 9,896.21

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Solution

The fourth proportional to 20,575.20, 30,844.77 and 9,896.21 is: 14,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.20 : 30,844.77 = 9,896.21 : x
  2. Step 2: Convert to fraction form
    20,575.20/30,844.77 = 9,896.21/x
  3. Step 3: Cross multiply
    20,575.20x = 30,844.77 × 9,896.21
  4. Step 4: Simplify right side
    20,575.20x = 305,246,245.65
  5. Step 5: Solve for x
    x = 305,246,245.65/20,575.20
  6. Step 6: Final answer
    x = 14,835.64

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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.