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Finding the Fourth Proportional to 23,813.89, 35,722.33 and 6,283.73

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Solution

The fourth proportional to 23,813.89, 35,722.33 and 6,283.73 is: 9,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.89 : 35,722.33 = 6,283.73 : x
  2. Step 2: Convert to fraction form
    23,813.89/35,722.33 = 6,283.73/x
  3. Step 3: Cross multiply
    23,813.89x = 35,722.33 × 6,283.73
  4. Step 4: Simplify right side
    23,813.89x = 224,469,550.29
  5. Step 5: Solve for x
    x = 224,469,550.29/23,813.89
  6. Step 6: Final answer
    x = 9,425.99

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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.