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Finding the Fourth Proportional to 23,796.94, 35,695.98 and 8,002.48

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Solution

The fourth proportional to 23,796.94, 35,695.98 and 8,002.48 is: 12,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.94 : 35,695.98 = 8,002.48 : x
  2. Step 2: Convert to fraction form
    23,796.94/35,695.98 = 8,002.48/x
  3. Step 3: Cross multiply
    23,796.94x = 35,695.98 × 8,002.48
  4. Step 4: Simplify right side
    23,796.94x = 285,656,366.03
  5. Step 5: Solve for x
    x = 285,656,366.03/23,796.94
  6. Step 6: Final answer
    x = 12,003.91

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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.