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Finding the Fourth Proportional to 17,096, 25,634.16 and 6,702.08

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Solution

The fourth proportional to 17,096, 25,634.16 and 6,702.08 is: 10,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096 : 25,634.16 = 6,702.08 : x
  2. Step 2: Convert to fraction form
    17,096/25,634.16 = 6,702.08/x
  3. Step 3: Cross multiply
    17,096x = 25,634.16 × 6,702.08
  4. Step 4: Simplify right side
    17,096x = 171,802,191.05
  5. Step 5: Solve for x
    x = 171,802,191.05/17,096
  6. Step 6: Final answer
    x = 10,049.26

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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.