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Finding the Fourth Proportional to 20,224.81, 30,350.89 and 7,077.30

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Solution

The fourth proportional to 20,224.81, 30,350.89 and 7,077.30 is: 10,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.81 : 30,350.89 = 7,077.30 : x
  2. Step 2: Convert to fraction form
    20,224.81/30,350.89 = 7,077.30/x
  3. Step 3: Cross multiply
    20,224.81x = 30,350.89 × 7,077.30
  4. Step 4: Simplify right side
    20,224.81x = 214,802,285.83
  5. Step 5: Solve for x
    x = 214,802,285.83/20,224.81
  6. Step 6: Final answer
    x = 10,620.73

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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.