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Finding the Fourth Proportional to 17,098.60, 25,647.90 and 4,786.60

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Solution

The fourth proportional to 17,098.60, 25,647.90 and 4,786.60 is: 7,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.60 : 25,647.90 = 4,786.60 : x
  2. Step 2: Convert to fraction form
    17,098.60/25,647.90 = 4,786.60/x
  3. Step 3: Cross multiply
    17,098.60x = 25,647.90 × 4,786.60
  4. Step 4: Simplify right side
    17,098.60x = 122,766,238.14
  5. Step 5: Solve for x
    x = 122,766,238.14/17,098.60
  6. Step 6: Final answer
    x = 7,179.90

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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.