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Finding the Fourth Proportional to 23,481.20, 35,224.86 and 7,680.71

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Solution

The fourth proportional to 23,481.20, 35,224.86 and 7,680.71 is: 11,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.20 : 35,224.86 = 7,680.71 : x
  2. Step 2: Convert to fraction form
    23,481.20/35,224.86 = 7,680.71/x
  3. Step 3: Cross multiply
    23,481.20x = 35,224.86 × 7,680.71
  4. Step 4: Simplify right side
    23,481.20x = 270,551,934.45
  5. Step 5: Solve for x
    x = 270,551,934.45/23,481.20
  6. Step 6: Final answer
    x = 11,522.07

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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.