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Finding the Fourth Proportional to 17,263.86, 25,896.60 and 6,175.80

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Solution

The fourth proportional to 17,263.86, 25,896.60 and 6,175.80 is: 9,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.86 : 25,896.60 = 6,175.80 : x
  2. Step 2: Convert to fraction form
    17,263.86/25,896.60 = 6,175.80/x
  3. Step 3: Cross multiply
    17,263.86x = 25,896.60 × 6,175.80
  4. Step 4: Simplify right side
    17,263.86x = 159,932,222.28
  5. Step 5: Solve for x
    x = 159,932,222.28/17,263.86
  6. Step 6: Final answer
    x = 9,263.99

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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.