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Finding the Fourth Proportional to 13,768.54, 20,601.78 and 8,224.90

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Solution

The fourth proportional to 13,768.54, 20,601.78 and 8,224.90 is: 12,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.54 : 20,601.78 = 8,224.90 : x
  2. Step 2: Convert to fraction form
    13,768.54/20,601.78 = 8,224.90/x
  3. Step 3: Cross multiply
    13,768.54x = 20,601.78 × 8,224.90
  4. Step 4: Simplify right side
    13,768.54x = 169,447,580.32
  5. Step 5: Solve for x
    x = 169,447,580.32/13,768.54
  6. Step 6: Final answer
    x = 12,306.87

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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.