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Finding the Fourth Proportional to 23,847.32, 35,770.56 and 8,264.72

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Solution

The fourth proportional to 23,847.32, 35,770.56 and 8,264.72 is: 12,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.32 : 35,770.56 = 8,264.72 : x
  2. Step 2: Convert to fraction form
    23,847.32/35,770.56 = 8,264.72/x
  3. Step 3: Cross multiply
    23,847.32x = 35,770.56 × 8,264.72
  4. Step 4: Simplify right side
    23,847.32x = 295,633,662.64
  5. Step 5: Solve for x
    x = 295,633,662.64/23,847.32
  6. Step 6: Final answer
    x = 12,396.93

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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.