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Finding the Fourth Proportional to 23,855.42, 35,753.96 and 8,254.82

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Solution

The fourth proportional to 23,855.42, 35,753.96 and 8,254.82 is: 12,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.42 : 35,753.96 = 8,254.82 : x
  2. Step 2: Convert to fraction form
    23,855.42/35,753.96 = 8,254.82/x
  3. Step 3: Cross multiply
    23,855.42x = 35,753.96 × 8,254.82
  4. Step 4: Simplify right side
    23,855.42x = 295,142,504.09
  5. Step 5: Solve for x
    x = 295,142,504.09/23,855.42
  6. Step 6: Final answer
    x = 12,372.14

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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.