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Finding the Fourth Proportional to 27,847.28, 41,770.23 and 8,126.01

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Solution

The fourth proportional to 27,847.28, 41,770.23 and 8,126.01 is: 12,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.28 : 41,770.23 = 8,126.01 : x
  2. Step 2: Convert to fraction form
    27,847.28/41,770.23 = 8,126.01/x
  3. Step 3: Cross multiply
    27,847.28x = 41,770.23 × 8,126.01
  4. Step 4: Simplify right side
    27,847.28x = 339,425,263.18
  5. Step 5: Solve for x
    x = 339,425,263.18/27,847.28
  6. Step 6: Final answer
    x = 12,188.81

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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.