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Finding the Fourth Proportional to 13,511.67, 20,229.09 and 11,242.05

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Solution

The fourth proportional to 13,511.67, 20,229.09 and 11,242.05 is: 16,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.67 : 20,229.09 = 11,242.05 : x
  2. Step 2: Convert to fraction form
    13,511.67/20,229.09 = 11,242.05/x
  3. Step 3: Cross multiply
    13,511.67x = 20,229.09 × 11,242.05
  4. Step 4: Simplify right side
    13,511.67x = 227,416,441.23
  5. Step 5: Solve for x
    x = 227,416,441.23/13,511.67
  6. Step 6: Final answer
    x = 16,831.11

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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.