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Finding the Fourth Proportional to 23,884.22, 35,777.07 and 13,993.49

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Solution

The fourth proportional to 23,884.22, 35,777.07 and 13,993.49 is: 20,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.22 : 35,777.07 = 13,993.49 : x
  2. Step 2: Convert to fraction form
    23,884.22/35,777.07 = 13,993.49/x
  3. Step 3: Cross multiply
    23,884.22x = 35,777.07 × 13,993.49
  4. Step 4: Simplify right side
    23,884.22x = 500,645,892.39
  5. Step 5: Solve for x
    x = 500,645,892.39/23,884.22
  6. Step 6: Final answer
    x = 20,961.37

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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.