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Finding the Fourth Proportional to 17,408.92, 26,107.84 and 5,719.44

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Solution

The fourth proportional to 17,408.92, 26,107.84 and 5,719.44 is: 8,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.92 : 26,107.84 = 5,719.44 : x
  2. Step 2: Convert to fraction form
    17,408.92/26,107.84 = 5,719.44/x
  3. Step 3: Cross multiply
    17,408.92x = 26,107.84 × 5,719.44
  4. Step 4: Simplify right side
    17,408.92x = 149,322,224.41
  5. Step 5: Solve for x
    x = 149,322,224.41/17,408.92
  6. Step 6: Final answer
    x = 8,577.34

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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.