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Finding the Fourth Proportional to 20,500.27, 30,737.23 and 8,650.80

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Solution

The fourth proportional to 20,500.27, 30,737.23 and 8,650.80 is: 12,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.27 : 30,737.23 = 8,650.80 : x
  2. Step 2: Convert to fraction form
    20,500.27/30,737.23 = 8,650.80/x
  3. Step 3: Cross multiply
    20,500.27x = 30,737.23 × 8,650.80
  4. Step 4: Simplify right side
    20,500.27x = 265,901,607.66
  5. Step 5: Solve for x
    x = 265,901,607.66/20,500.27
  6. Step 6: Final answer
    x = 12,970.64

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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.