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Finding the Fourth Proportional to 17,098, 25,647.96 and 4,786.96

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Solution

The fourth proportional to 17,098, 25,647.96 and 4,786.96 is: 7,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098 : 25,647.96 = 4,786.96 : x
  2. Step 2: Convert to fraction form
    17,098/25,647.96 = 4,786.96/x
  3. Step 3: Cross multiply
    17,098x = 25,647.96 × 4,786.96
  4. Step 4: Simplify right side
    17,098x = 122,775,758.60
  5. Step 5: Solve for x
    x = 122,775,758.60/17,098
  6. Step 6: Final answer
    x = 7,180.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.