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Finding the Fourth Proportional to 17,227.76, 23,739.24 and 16,298

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Solution

The fourth proportional to 17,227.76, 23,739.24 and 16,298 is: 22,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.76 : 23,739.24 = 16,298 : x
  2. Step 2: Convert to fraction form
    17,227.76/23,739.24 = 16,298/x
  3. Step 3: Cross multiply
    17,227.76x = 23,739.24 × 16,298
  4. Step 4: Simplify right side
    17,227.76x = 386,902,133.52
  5. Step 5: Solve for x
    x = 386,902,133.52/17,227.76
  6. Step 6: Final answer
    x = 22,458.06

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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.