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Finding the Fourth Proportional to 17,568, 26,349 and 5,881.20

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Solution

The fourth proportional to 17,568, 26,349 and 5,881.20 is: 8,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568 : 26,349 = 5,881.20 : x
  2. Step 2: Convert to fraction form
    17,568/26,349 = 5,881.20/x
  3. Step 3: Cross multiply
    17,568x = 26,349 × 5,881.20
  4. Step 4: Simplify right side
    17,568x = 154,963,738.80
  5. Step 5: Solve for x
    x = 154,963,738.80/17,568
  6. Step 6: Final answer
    x = 8,820.80

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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.