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Finding the Fourth Proportional to 12,163.26, 16,785.32 and 6,574.26

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Solution

The fourth proportional to 12,163.26, 16,785.32 and 6,574.26 is: 9,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.26 : 16,785.32 = 6,574.26 : x
  2. Step 2: Convert to fraction form
    12,163.26/16,785.32 = 6,574.26/x
  3. Step 3: Cross multiply
    12,163.26x = 16,785.32 × 6,574.26
  4. Step 4: Simplify right side
    12,163.26x = 110,351,024.99
  5. Step 5: Solve for x
    x = 110,351,024.99/12,163.26
  6. Step 6: Final answer
    x = 9,072.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.