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Finding the Fourth Proportional to 20,990.27, 31,484.90 and 8,506.96

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Solution

The fourth proportional to 20,990.27, 31,484.90 and 8,506.96 is: 12,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.27 : 31,484.90 = 8,506.96 : x
  2. Step 2: Convert to fraction form
    20,990.27/31,484.90 = 8,506.96/x
  3. Step 3: Cross multiply
    20,990.27x = 31,484.90 × 8,506.96
  4. Step 4: Simplify right side
    20,990.27x = 267,840,727.46
  5. Step 5: Solve for x
    x = 267,840,727.46/20,990.27
  6. Step 6: Final answer
    x = 12,760.23

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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.