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Finding the Fourth Proportional to 23,570.92, 35,336.22 and 7,980.04

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Solution

The fourth proportional to 23,570.92, 35,336.22 and 7,980.04 is: 11,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.92 : 35,336.22 = 7,980.04 : x
  2. Step 2: Convert to fraction form
    23,570.92/35,336.22 = 7,980.04/x
  3. Step 3: Cross multiply
    23,570.92x = 35,336.22 × 7,980.04
  4. Step 4: Simplify right side
    23,570.92x = 281,984,449.05
  5. Step 5: Solve for x
    x = 281,984,449.05/23,570.92
  6. Step 6: Final answer
    x = 11,963.23

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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.