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Finding the Fourth Proportional to 21,201.69, 31,806.20 and 7,161.82

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Solution

The fourth proportional to 21,201.69, 31,806.20 and 7,161.82 is: 10,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.69 : 31,806.20 = 7,161.82 : x
  2. Step 2: Convert to fraction form
    21,201.69/31,806.20 = 7,161.82/x
  3. Step 3: Cross multiply
    21,201.69x = 31,806.20 × 7,161.82
  4. Step 4: Simplify right side
    21,201.69x = 227,790,184.10
  5. Step 5: Solve for x
    x = 227,790,184.10/21,201.69
  6. Step 6: Final answer
    x = 10,743.96

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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.