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Finding the Fourth Proportional to 13,771.54, 20,606.28 and 8,227.90

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Solution

The fourth proportional to 13,771.54, 20,606.28 and 8,227.90 is: 12,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.54 : 20,606.28 = 8,227.90 : x
  2. Step 2: Convert to fraction form
    13,771.54/20,606.28 = 8,227.90/x
  3. Step 3: Cross multiply
    13,771.54x = 20,606.28 × 8,227.90
  4. Step 4: Simplify right side
    13,771.54x = 169,546,411.21
  5. Step 5: Solve for x
    x = 169,546,411.21/13,771.54
  6. Step 6: Final answer
    x = 12,311.36

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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.