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Finding the Fourth Proportional to 17,122.86, 25,674.57 and 10,202.22

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Solution

The fourth proportional to 17,122.86, 25,674.57 and 10,202.22 is: 15,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.86 : 25,674.57 = 10,202.22 : x
  2. Step 2: Convert to fraction form
    17,122.86/25,674.57 = 10,202.22/x
  3. Step 3: Cross multiply
    17,122.86x = 25,674.57 × 10,202.22
  4. Step 4: Simplify right side
    17,122.86x = 261,937,611.55
  5. Step 5: Solve for x
    x = 261,937,611.55/17,122.86
  6. Step 6: Final answer
    x = 15,297.54

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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.