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Finding the Fourth Proportional to 23,634.30, 35,449.05 and 8,051.70

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Solution

The fourth proportional to 23,634.30, 35,449.05 and 8,051.70 is: 12,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.30 : 35,449.05 = 8,051.70 : x
  2. Step 2: Convert to fraction form
    23,634.30/35,449.05 = 8,051.70/x
  3. Step 3: Cross multiply
    23,634.30x = 35,449.05 × 8,051.70
  4. Step 4: Simplify right side
    23,634.30x = 285,425,115.89
  5. Step 5: Solve for x
    x = 285,425,115.89/23,634.30
  6. Step 6: Final answer
    x = 12,076.73

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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.