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Finding the Fourth Proportional to 13,949.34, 20,906.22 and 6,537.45

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Solution

The fourth proportional to 13,949.34, 20,906.22 and 6,537.45 is: 9,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,949.34 : 20,906.22 = 6,537.45 : x
  2. Step 2: Convert to fraction form
    13,949.34/20,906.22 = 6,537.45/x
  3. Step 3: Cross multiply
    13,949.34x = 20,906.22 × 6,537.45
  4. Step 4: Simplify right side
    13,949.34x = 136,673,367.94
  5. Step 5: Solve for x
    x = 136,673,367.94/13,949.34
  6. Step 6: Final answer
    x = 9,797.84

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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.