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Finding the Fourth Proportional to 23,892.83, 35,843.78 and 7,883.33

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Solution

The fourth proportional to 23,892.83, 35,843.78 and 7,883.33 is: 11,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.83 : 35,843.78 = 7,883.33 : x
  2. Step 2: Convert to fraction form
    23,892.83/35,843.78 = 7,883.33/x
  3. Step 3: Cross multiply
    23,892.83x = 35,843.78 × 7,883.33
  4. Step 4: Simplify right side
    23,892.83x = 282,568,127.55
  5. Step 5: Solve for x
    x = 282,568,127.55/23,892.83
  6. Step 6: Final answer
    x = 11,826.48

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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.