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Finding the Fourth Proportional to 12,462.49, 17,200.10 and 7,991.29

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Solution

The fourth proportional to 12,462.49, 17,200.10 and 7,991.29 is: 11,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.49 : 17,200.10 = 7,991.29 : x
  2. Step 2: Convert to fraction form
    12,462.49/17,200.10 = 7,991.29/x
  3. Step 3: Cross multiply
    12,462.49x = 17,200.10 × 7,991.29
  4. Step 4: Simplify right side
    12,462.49x = 137,450,861.17
  5. Step 5: Solve for x
    x = 137,450,861.17/12,462.49
  6. Step 6: Final answer
    x = 11,029.17

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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.