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Finding the Fourth Proportional to 23,644.14, 35,471.73 and 8,061.78

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Solution

The fourth proportional to 23,644.14, 35,471.73 and 8,061.78 is: 12,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.14 : 35,471.73 = 8,061.78 : x
  2. Step 2: Convert to fraction form
    23,644.14/35,471.73 = 8,061.78/x
  3. Step 3: Cross multiply
    23,644.14x = 35,471.73 × 8,061.78
  4. Step 4: Simplify right side
    23,644.14x = 285,965,283.48
  5. Step 5: Solve for x
    x = 285,965,283.48/23,644.14
  6. Step 6: Final answer
    x = 12,094.55

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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.