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Finding the Fourth Proportional to 16,768.25, 23,129.89 and 9,957.64

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Solution

The fourth proportional to 16,768.25, 23,129.89 and 9,957.64 is: 13,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.25 : 23,129.89 = 9,957.64 : x
  2. Step 2: Convert to fraction form
    16,768.25/23,129.89 = 9,957.64/x
  3. Step 3: Cross multiply
    16,768.25x = 23,129.89 × 9,957.64
  4. Step 4: Simplify right side
    16,768.25x = 230,319,035.14
  5. Step 5: Solve for x
    x = 230,319,035.14/16,768.25
  6. Step 6: Final answer
    x = 13,735.43

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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.