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Finding the Fourth Proportional to 23,906.84, 32,944.86 and 17,945.24

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Solution

The fourth proportional to 23,906.84, 32,944.86 and 17,945.24 is: 24,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.84 : 32,944.86 = 17,945.24 : x
  2. Step 2: Convert to fraction form
    23,906.84/32,944.86 = 17,945.24/x
  3. Step 3: Cross multiply
    23,906.84x = 32,944.86 × 17,945.24
  4. Step 4: Simplify right side
    23,906.84x = 591,203,419.47
  5. Step 5: Solve for x
    x = 591,203,419.47/23,906.84
  6. Step 6: Final answer
    x = 24,729.47

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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.