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Finding the Fourth Proportional to 23,844.36, 35,765.98 and 8,261.80

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Solution

The fourth proportional to 23,844.36, 35,765.98 and 8,261.80 is: 12,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.36 : 35,765.98 = 8,261.80 : x
  2. Step 2: Convert to fraction form
    23,844.36/35,765.98 = 8,261.80/x
  3. Step 3: Cross multiply
    23,844.36x = 35,765.98 × 8,261.80
  4. Step 4: Simplify right side
    23,844.36x = 295,491,373.56
  5. Step 5: Solve for x
    x = 295,491,373.56/23,844.36
  6. Step 6: Final answer
    x = 12,392.51

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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.