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Finding the Fourth Proportional to 20,685.27, 31,008.60 and 8,202.90

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Solution

The fourth proportional to 20,685.27, 31,008.60 and 8,202.90 is: 12,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.27 : 31,008.60 = 8,202.90 : x
  2. Step 2: Convert to fraction form
    20,685.27/31,008.60 = 8,202.90/x
  3. Step 3: Cross multiply
    20,685.27x = 31,008.60 × 8,202.90
  4. Step 4: Simplify right side
    20,685.27x = 254,360,444.94
  5. Step 5: Solve for x
    x = 254,360,444.94/20,685.27
  6. Step 6: Final answer
    x = 12,296.69

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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.