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Finding the Fourth Proportional to 23,696, 35,544.20 and 8,113.76

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Solution

The fourth proportional to 23,696, 35,544.20 and 8,113.76 is: 12,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696 : 35,544.20 = 8,113.76 : x
  2. Step 2: Convert to fraction form
    23,696/35,544.20 = 8,113.76/x
  3. Step 3: Cross multiply
    23,696x = 35,544.20 × 8,113.76
  4. Step 4: Simplify right side
    23,696x = 288,397,108.19
  5. Step 5: Solve for x
    x = 288,397,108.19/23,696
  6. Step 6: Final answer
    x = 12,170.71

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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.