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Finding the Fourth Proportional to 23,522.48, 35,283.84 and 7,940.24

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Solution

The fourth proportional to 23,522.48, 35,283.84 and 7,940.24 is: 11,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.48 : 35,283.84 = 7,940.24 : x
  2. Step 2: Convert to fraction form
    23,522.48/35,283.84 = 7,940.24/x
  3. Step 3: Cross multiply
    23,522.48x = 35,283.84 × 7,940.24
  4. Step 4: Simplify right side
    23,522.48x = 280,162,157.72
  5. Step 5: Solve for x
    x = 280,162,157.72/23,522.48
  6. Step 6: Final answer
    x = 11,910.40

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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.