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Finding the Fourth Proportional to 20,485.43, 30,732.25 and 6,448.99

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Solution

The fourth proportional to 20,485.43, 30,732.25 and 6,448.99 is: 9,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.43 : 30,732.25 = 6,448.99 : x
  2. Step 2: Convert to fraction form
    20,485.43/30,732.25 = 6,448.99/x
  3. Step 3: Cross multiply
    20,485.43x = 30,732.25 × 6,448.99
  4. Step 4: Simplify right side
    20,485.43x = 198,192,027.05
  5. Step 5: Solve for x
    x = 198,192,027.05/20,485.43
  6. Step 6: Final answer
    x = 9,674.78

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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.