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Finding the Fourth Proportional to 20,389.30, 30,596.94 and 9,297.09

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Solution

The fourth proportional to 20,389.30, 30,596.94 and 9,297.09 is: 13,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.30 : 30,596.94 = 9,297.09 : x
  2. Step 2: Convert to fraction form
    20,389.30/30,596.94 = 9,297.09/x
  3. Step 3: Cross multiply
    20,389.30x = 30,596.94 × 9,297.09
  4. Step 4: Simplify right side
    20,389.30x = 284,462,504.90
  5. Step 5: Solve for x
    x = 284,462,504.90/20,389.30
  6. Step 6: Final answer
    x = 13,951.56

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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.