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Finding the Fourth Proportional to 17,213.24, 25,817.70 and 6,825.80

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Solution

The fourth proportional to 17,213.24, 25,817.70 and 6,825.80 is: 10,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.24 : 25,817.70 = 6,825.80 : x
  2. Step 2: Convert to fraction form
    17,213.24/25,817.70 = 6,825.80/x
  3. Step 3: Cross multiply
    17,213.24x = 25,817.70 × 6,825.80
  4. Step 4: Simplify right side
    17,213.24x = 176,226,456.66
  5. Step 5: Solve for x
    x = 176,226,456.66/17,213.24
  6. Step 6: Final answer
    x = 10,237.84

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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.