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Finding the Fourth Proportional to 17,651.65, 26,471.22 and 5,168.47

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Solution

The fourth proportional to 17,651.65, 26,471.22 and 5,168.47 is: 7,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.65 : 26,471.22 = 5,168.47 : x
  2. Step 2: Convert to fraction form
    17,651.65/26,471.22 = 5,168.47/x
  3. Step 3: Cross multiply
    17,651.65x = 26,471.22 × 5,168.47
  4. Step 4: Simplify right side
    17,651.65x = 136,815,706.43
  5. Step 5: Solve for x
    x = 136,815,706.43/17,651.65
  6. Step 6: Final answer
    x = 7,750.87

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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.