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Finding the Fourth Proportional to 20,149.71, 30,222.26 and 5,359.77

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Solution

The fourth proportional to 20,149.71, 30,222.26 and 5,359.77 is: 8,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.71 : 30,222.26 = 5,359.77 : x
  2. Step 2: Convert to fraction form
    20,149.71/30,222.26 = 5,359.77/x
  3. Step 3: Cross multiply
    20,149.71x = 30,222.26 × 5,359.77
  4. Step 4: Simplify right side
    20,149.71x = 161,984,385.93
  5. Step 5: Solve for x
    x = 161,984,385.93/20,149.71
  6. Step 6: Final answer
    x = 8,039.04

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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.