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Finding the Fourth Proportional to 27,692.64, 41,469.84 and 23,096.16

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Solution

The fourth proportional to 27,692.64, 41,469.84 and 23,096.16 is: 34,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.64 : 41,469.84 = 23,096.16 : x
  2. Step 2: Convert to fraction form
    27,692.64/41,469.84 = 23,096.16/x
  3. Step 3: Cross multiply
    27,692.64x = 41,469.84 × 23,096.16
  4. Step 4: Simplify right side
    27,692.64x = 957,794,059.81
  5. Step 5: Solve for x
    x = 957,794,059.81/27,692.64
  6. Step 6: Final answer
    x = 34,586.59

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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.