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Finding the Fourth Proportional to 13,942.90, 19,224.97 and 9,469.54

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Solution

The fourth proportional to 13,942.90, 19,224.97 and 9,469.54 is: 13,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.90 : 19,224.97 = 9,469.54 : x
  2. Step 2: Convert to fraction form
    13,942.90/19,224.97 = 9,469.54/x
  3. Step 3: Cross multiply
    13,942.90x = 19,224.97 × 9,469.54
  4. Step 4: Simplify right side
    13,942.90x = 182,051,622.41
  5. Step 5: Solve for x
    x = 182,051,622.41/13,942.90
  6. Step 6: Final answer
    x = 13,056.94

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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.