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Finding the Fourth Proportional to 11,829.70, 16,316.80 and 9,591.67

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Solution

The fourth proportional to 11,829.70, 16,316.80 and 9,591.67 is: 13,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.70 : 16,316.80 = 9,591.67 : x
  2. Step 2: Convert to fraction form
    11,829.70/16,316.80 = 9,591.67/x
  3. Step 3: Cross multiply
    11,829.70x = 16,316.80 × 9,591.67
  4. Step 4: Simplify right side
    11,829.70x = 156,505,361.06
  5. Step 5: Solve for x
    x = 156,505,361.06/11,829.70
  6. Step 6: Final answer
    x = 13,229.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.