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Finding the Fourth Proportional to 23,806.09, 35,711.56 and 8,221.69

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Solution

The fourth proportional to 23,806.09, 35,711.56 and 8,221.69 is: 12,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.09 : 35,711.56 = 8,221.69 : x
  2. Step 2: Convert to fraction form
    23,806.09/35,711.56 = 8,221.69/x
  3. Step 3: Cross multiply
    23,806.09x = 35,711.56 × 8,221.69
  4. Step 4: Simplify right side
    23,806.09x = 293,609,296.73
  5. Step 5: Solve for x
    x = 293,609,296.73/23,806.09
  6. Step 6: Final answer
    x = 12,333.37

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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.