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Finding the Fourth Proportional to 17,096.27, 25,626.87 and 6,563.46

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Solution

The fourth proportional to 17,096.27, 25,626.87 and 6,563.46 is: 9,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.27 : 25,626.87 = 6,563.46 : x
  2. Step 2: Convert to fraction form
    17,096.27/25,626.87 = 6,563.46/x
  3. Step 3: Cross multiply
    17,096.27x = 25,626.87 × 6,563.46
  4. Step 4: Simplify right side
    17,096.27x = 168,200,775.22
  5. Step 5: Solve for x
    x = 168,200,775.22/17,096.27
  6. Step 6: Final answer
    x = 9,838.45

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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.