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Finding the Fourth Proportional to 20,692.89, 31,015.01 and 9,576.09

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Solution

The fourth proportional to 20,692.89, 31,015.01 and 9,576.09 is: 14,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.89 : 31,015.01 = 9,576.09 : x
  2. Step 2: Convert to fraction form
    20,692.89/31,015.01 = 9,576.09/x
  3. Step 3: Cross multiply
    20,692.89x = 31,015.01 × 9,576.09
  4. Step 4: Simplify right side
    20,692.89x = 297,002,551.05
  5. Step 5: Solve for x
    x = 297,002,551.05/20,692.89
  6. Step 6: Final answer
    x = 14,352.88

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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.