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Finding the Fourth Proportional to 12,796.98, 17,660.09 and 7,132.24

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Solution

The fourth proportional to 12,796.98, 17,660.09 and 7,132.24 is: 9,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.98 : 17,660.09 = 7,132.24 : x
  2. Step 2: Convert to fraction form
    12,796.98/17,660.09 = 7,132.24/x
  3. Step 3: Cross multiply
    12,796.98x = 17,660.09 × 7,132.24
  4. Step 4: Simplify right side
    12,796.98x = 125,956,000.30
  5. Step 5: Solve for x
    x = 125,956,000.30/12,796.98
  6. Step 6: Final answer
    x = 9,842.63

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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.