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Finding the Fourth Proportional to 12,047.49, 16,641.42 and 9,249.44

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Solution

The fourth proportional to 12,047.49, 16,641.42 and 9,249.44 is: 12,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.49 : 16,641.42 = 9,249.44 : x
  2. Step 2: Convert to fraction form
    12,047.49/16,641.42 = 9,249.44/x
  3. Step 3: Cross multiply
    12,047.49x = 16,641.42 × 9,249.44
  4. Step 4: Simplify right side
    12,047.49x = 153,923,732.60
  5. Step 5: Solve for x
    x = 153,923,732.60/12,047.49
  6. Step 6: Final answer
    x = 12,776.42

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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.