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Finding the Fourth Proportional to 23,680.56, 35,524.08 and 8,094

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Solution

The fourth proportional to 23,680.56, 35,524.08 and 8,094 is: 12,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.56 : 35,524.08 = 8,094 : x
  2. Step 2: Convert to fraction form
    23,680.56/35,524.08 = 8,094/x
  3. Step 3: Cross multiply
    23,680.56x = 35,524.08 × 8,094
  4. Step 4: Simplify right side
    23,680.56x = 287,531,903.52
  5. Step 5: Solve for x
    x = 287,531,903.52/23,680.56
  6. Step 6: Final answer
    x = 12,142.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.