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Finding the Fourth Proportional to 11,344.60, 16,922.57 and 11,163.16

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Solution

The fourth proportional to 11,344.60, 16,922.57 and 11,163.16 is: 16,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.60 : 16,922.57 = 11,163.16 : x
  2. Step 2: Convert to fraction form
    11,344.60/16,922.57 = 11,163.16/x
  3. Step 3: Cross multiply
    11,344.60x = 16,922.57 × 11,163.16
  4. Step 4: Simplify right side
    11,344.60x = 188,909,356.52
  5. Step 5: Solve for x
    x = 188,909,356.52/11,344.60
  6. Step 6: Final answer
    x = 16,651.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.