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Finding the Fourth Proportional to 12,469.84, 17,192.82 and 7,986.22

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Solution

The fourth proportional to 12,469.84, 17,192.82 and 7,986.22 is: 11,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.84 : 17,192.82 = 7,986.22 : x
  2. Step 2: Convert to fraction form
    12,469.84/17,192.82 = 7,986.22/x
  3. Step 3: Cross multiply
    12,469.84x = 17,192.82 × 7,986.22
  4. Step 4: Simplify right side
    12,469.84x = 137,305,642.94
  5. Step 5: Solve for x
    x = 137,305,642.94/12,469.84
  6. Step 6: Final answer
    x = 11,011.02

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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.