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Finding the Fourth Proportional to 23,887.89, 35,837.22 and 8,092.02

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Solution

The fourth proportional to 23,887.89, 35,837.22 and 8,092.02 is: 12,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.89 : 35,837.22 = 8,092.02 : x
  2. Step 2: Convert to fraction form
    23,887.89/35,837.22 = 8,092.02/x
  3. Step 3: Cross multiply
    23,887.89x = 35,837.22 × 8,092.02
  4. Step 4: Simplify right side
    23,887.89x = 289,995,500.98
  5. Step 5: Solve for x
    x = 289,995,500.98/23,887.89
  6. Step 6: Final answer
    x = 12,139.85

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Why These Related Problems?

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