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Finding the Fourth Proportional to 23,847.10, 35,770.65 and 8,266.30

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Solution

The fourth proportional to 23,847.10, 35,770.65 and 8,266.30 is: 12,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.10 : 35,770.65 = 8,266.30 : x
  2. Step 2: Convert to fraction form
    23,847.10/35,770.65 = 8,266.30/x
  3. Step 3: Cross multiply
    23,847.10x = 35,770.65 × 8,266.30
  4. Step 4: Simplify right side
    23,847.10x = 295,690,924.10
  5. Step 5: Solve for x
    x = 295,690,924.10/23,847.10
  6. Step 6: Final answer
    x = 12,399.45

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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.