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Finding the Fourth Proportional to 20,902.27, 31,353.06 and 8,421.99

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Solution

The fourth proportional to 20,902.27, 31,353.06 and 8,421.99 is: 12,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.27 : 31,353.06 = 8,421.99 : x
  2. Step 2: Convert to fraction form
    20,902.27/31,353.06 = 8,421.99/x
  3. Step 3: Cross multiply
    20,902.27x = 31,353.06 × 8,421.99
  4. Step 4: Simplify right side
    20,902.27x = 264,055,157.79
  5. Step 5: Solve for x
    x = 264,055,157.79/20,902.27
  6. Step 6: Final answer
    x = 12,632.85

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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.