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Finding the Fourth Proportional to 17,201.70, 25,805.11 and 6,107.46

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Solution

The fourth proportional to 17,201.70, 25,805.11 and 6,107.46 is: 9,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.70 : 25,805.11 = 6,107.46 : x
  2. Step 2: Convert to fraction form
    17,201.70/25,805.11 = 6,107.46/x
  3. Step 3: Cross multiply
    17,201.70x = 25,805.11 × 6,107.46
  4. Step 4: Simplify right side
    17,201.70x = 157,603,661.85
  5. Step 5: Solve for x
    x = 157,603,661.85/17,201.70
  6. Step 6: Final answer
    x = 9,162.10

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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.