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Finding the Fourth Proportional to 20,149.49, 30,224.19 and 5,358.41

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Solution

The fourth proportional to 20,149.49, 30,224.19 and 5,358.41 is: 8,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.49 : 30,224.19 = 5,358.41 : x
  2. Step 2: Convert to fraction form
    20,149.49/30,224.19 = 5,358.41/x
  3. Step 3: Cross multiply
    20,149.49x = 30,224.19 × 5,358.41
  4. Step 4: Simplify right side
    20,149.49x = 161,953,601.94
  5. Step 5: Solve for x
    x = 161,953,601.94/20,149.49
  6. Step 6: Final answer
    x = 8,037.60

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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.