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Finding the Fourth Proportional to 17,096.20, 25,644.30 and 9,697.80

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Solution

The fourth proportional to 17,096.20, 25,644.30 and 9,697.80 is: 14,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.20 : 25,644.30 = 9,697.80 : x
  2. Step 2: Convert to fraction form
    17,096.20/25,644.30 = 9,697.80/x
  3. Step 3: Cross multiply
    17,096.20x = 25,644.30 × 9,697.80
  4. Step 4: Simplify right side
    17,096.20x = 248,693,292.54
  5. Step 5: Solve for x
    x = 248,693,292.54/17,096.20
  6. Step 6: Final answer
    x = 14,546.70

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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.