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Finding the Fourth Proportional to 16,824.52, 23,216.46 and 9,751.48

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Solution

The fourth proportional to 16,824.52, 23,216.46 and 9,751.48 is: 13,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.52 : 23,216.46 = 9,751.48 : x
  2. Step 2: Convert to fraction form
    16,824.52/23,216.46 = 9,751.48/x
  3. Step 3: Cross multiply
    16,824.52x = 23,216.46 × 9,751.48
  4. Step 4: Simplify right side
    16,824.52x = 226,394,845.36
  5. Step 5: Solve for x
    x = 226,394,845.36/16,824.52
  6. Step 6: Final answer
    x = 13,456.24

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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.