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Finding the Fourth Proportional to 15,942.20, 21,998.94 and 9,969.80

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Solution

The fourth proportional to 15,942.20, 21,998.94 and 9,969.80 is: 13,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.20 : 21,998.94 = 9,969.80 : x
  2. Step 2: Convert to fraction form
    15,942.20/21,998.94 = 9,969.80/x
  3. Step 3: Cross multiply
    15,942.20x = 21,998.94 × 9,969.80
  4. Step 4: Simplify right side
    15,942.20x = 219,325,032.01
  5. Step 5: Solve for x
    x = 219,325,032.01/15,942.20
  6. Step 6: Final answer
    x = 13,757.51

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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.