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Finding the Fourth Proportional to 23,640.18, 35,464.46 and 7,846.15

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Solution

The fourth proportional to 23,640.18, 35,464.46 and 7,846.15 is: 11,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.18 : 35,464.46 = 7,846.15 : x
  2. Step 2: Convert to fraction form
    23,640.18/35,464.46 = 7,846.15/x
  3. Step 3: Cross multiply
    23,640.18x = 35,464.46 × 7,846.15
  4. Step 4: Simplify right side
    23,640.18x = 278,259,472.83
  5. Step 5: Solve for x
    x = 278,259,472.83/23,640.18
  6. Step 6: Final answer
    x = 11,770.62

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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.