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Finding the Fourth Proportional to 13,811.67, 20,738.28 and 8,289.72

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Solution

The fourth proportional to 13,811.67, 20,738.28 and 8,289.72 is: 12,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.67 : 20,738.28 = 8,289.72 : x
  2. Step 2: Convert to fraction form
    13,811.67/20,738.28 = 8,289.72/x
  3. Step 3: Cross multiply
    13,811.67x = 20,738.28 × 8,289.72
  4. Step 4: Simplify right side
    13,811.67x = 171,914,534.48
  5. Step 5: Solve for x
    x = 171,914,534.48/13,811.67
  6. Step 6: Final answer
    x = 12,447.05

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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.