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Finding the Fourth Proportional to 20,369.76, 30,558.24 and 7,229.76

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Solution

The fourth proportional to 20,369.76, 30,558.24 and 7,229.76 is: 10,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,369.76 : 30,558.24 = 7,229.76 : x
  2. Step 2: Convert to fraction form
    20,369.76/30,558.24 = 7,229.76/x
  3. Step 3: Cross multiply
    20,369.76x = 30,558.24 × 7,229.76
  4. Step 4: Simplify right side
    20,369.76x = 220,928,741.22
  5. Step 5: Solve for x
    x = 220,928,741.22/20,369.76
  6. Step 6: Final answer
    x = 10,845.92

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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.