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Finding the Fourth Proportional to 17,410.26, 26,112.69 and 5,723.40

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Solution

The fourth proportional to 17,410.26, 26,112.69 and 5,723.40 is: 8,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.26 : 26,112.69 = 5,723.40 : x
  2. Step 2: Convert to fraction form
    17,410.26/26,112.69 = 5,723.40/x
  3. Step 3: Cross multiply
    17,410.26x = 26,112.69 × 5,723.40
  4. Step 4: Simplify right side
    17,410.26x = 149,453,369.95
  5. Step 5: Solve for x
    x = 149,453,369.95/17,410.26
  6. Step 6: Final answer
    x = 8,584.21

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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.