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Finding the Fourth Proportional to 20,912.85, 31,369.10 and 9,226.08

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Solution

The fourth proportional to 20,912.85, 31,369.10 and 9,226.08 is: 13,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912.85 : 31,369.10 = 9,226.08 : x
  2. Step 2: Convert to fraction form
    20,912.85/31,369.10 = 9,226.08/x
  3. Step 3: Cross multiply
    20,912.85x = 31,369.10 × 9,226.08
  4. Step 4: Simplify right side
    20,912.85x = 289,413,780.00
  5. Step 5: Solve for x
    x = 289,413,780.00/20,912.85
  6. Step 6: Final answer
    x = 13,839.04

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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.