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Finding the Fourth Proportional to 12,241.98, 16,896.57 and 7,463.49

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Solution

The fourth proportional to 12,241.98, 16,896.57 and 7,463.49 is: 10,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.98 : 16,896.57 = 7,463.49 : x
  2. Step 2: Convert to fraction form
    12,241.98/16,896.57 = 7,463.49/x
  3. Step 3: Cross multiply
    12,241.98x = 16,896.57 × 7,463.49
  4. Step 4: Simplify right side
    12,241.98x = 126,107,381.23
  5. Step 5: Solve for x
    x = 126,107,381.23/12,241.98
  6. Step 6: Final answer
    x = 10,301.22

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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.