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Finding the Fourth Proportional to 23,682.76, 35,516.80 and 8,096.76

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Solution

The fourth proportional to 23,682.76, 35,516.80 and 8,096.76 is: 12,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.76 : 35,516.80 = 8,096.76 : x
  2. Step 2: Convert to fraction form
    23,682.76/35,516.80 = 8,096.76/x
  3. Step 3: Cross multiply
    23,682.76x = 35,516.80 × 8,096.76
  4. Step 4: Simplify right side
    23,682.76x = 287,571,005.57
  5. Step 5: Solve for x
    x = 287,571,005.57/23,682.76
  6. Step 6: Final answer
    x = 12,142.63

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1.5x scale

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.