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Finding the Fourth Proportional to 13,806.17, 20,689.40 and 5,906.54

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Solution

The fourth proportional to 13,806.17, 20,689.40 and 5,906.54 is: 8,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.17 : 20,689.40 = 5,906.54 : x
  2. Step 2: Convert to fraction form
    13,806.17/20,689.40 = 5,906.54/x
  3. Step 3: Cross multiply
    13,806.17x = 20,689.40 × 5,906.54
  4. Step 4: Simplify right side
    13,806.17x = 122,202,665.23
  5. Step 5: Solve for x
    x = 122,202,665.23/13,806.17
  6. Step 6: Final answer
    x = 8,851.31

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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.