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Finding the Fourth Proportional to 20,238.56, 30,355.65 and 5,448.96

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Solution

The fourth proportional to 20,238.56, 30,355.65 and 5,448.96 is: 8,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.56 : 30,355.65 = 5,448.96 : x
  2. Step 2: Convert to fraction form
    20,238.56/30,355.65 = 5,448.96/x
  3. Step 3: Cross multiply
    20,238.56x = 30,355.65 × 5,448.96
  4. Step 4: Simplify right side
    20,238.56x = 165,406,722.62
  5. Step 5: Solve for x
    x = 165,406,722.62/20,238.56
  6. Step 6: Final answer
    x = 8,172.85

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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.