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Finding the Fourth Proportional to 17,342.54, 25,997.06 and 7,989

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Solution

The fourth proportional to 17,342.54, 25,997.06 and 7,989 is: 11,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.54 : 25,997.06 = 7,989 : x
  2. Step 2: Convert to fraction form
    17,342.54/25,997.06 = 7,989/x
  3. Step 3: Cross multiply
    17,342.54x = 25,997.06 × 7,989
  4. Step 4: Simplify right side
    17,342.54x = 207,690,512.34
  5. Step 5: Solve for x
    x = 207,690,512.34/17,342.54
  6. Step 6: Final answer
    x = 11,975.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.