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Finding the Fourth Proportional to 11,982.26, 16,541.44 and 9,287.54

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Solution

The fourth proportional to 11,982.26, 16,541.44 and 9,287.54 is: 12,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.26 : 16,541.44 = 9,287.54 : x
  2. Step 2: Convert to fraction form
    11,982.26/16,541.44 = 9,287.54/x
  3. Step 3: Cross multiply
    11,982.26x = 16,541.44 × 9,287.54
  4. Step 4: Simplify right side
    11,982.26x = 153,629,285.66
  5. Step 5: Solve for x
    x = 153,629,285.66/11,982.26
  6. Step 6: Final answer
    x = 12,821.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.