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Finding the Fourth Proportional to 12,961.98, 17,896.14 and 9,972.54

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Solution

The fourth proportional to 12,961.98, 17,896.14 and 9,972.54 is: 13,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.98 : 17,896.14 = 9,972.54 : x
  2. Step 2: Convert to fraction form
    12,961.98/17,896.14 = 9,972.54/x
  3. Step 3: Cross multiply
    12,961.98x = 17,896.14 × 9,972.54
  4. Step 4: Simplify right side
    12,961.98x = 178,469,972.00
  5. Step 5: Solve for x
    x = 178,469,972.00/12,961.98
  6. Step 6: Final answer
    x = 13,768.73

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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.