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Finding the Fourth Proportional to 15,696.62, 23,542.82 and 5,834.56

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Solution

The fourth proportional to 15,696.62, 23,542.82 and 5,834.56 is: 8,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.62 : 23,542.82 = 5,834.56 : x
  2. Step 2: Convert to fraction form
    15,696.62/23,542.82 = 5,834.56/x
  3. Step 3: Cross multiply
    15,696.62x = 23,542.82 × 5,834.56
  4. Step 4: Simplify right side
    15,696.62x = 137,361,995.86
  5. Step 5: Solve for x
    x = 137,361,995.86/15,696.62
  6. Step 6: Final answer
    x = 8,751.06

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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.