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Finding the Fourth Proportional to 16,296.36, 22,487.72 and 9,223.26

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Solution

The fourth proportional to 16,296.36, 22,487.72 and 9,223.26 is: 12,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.36 : 22,487.72 = 9,223.26 : x
  2. Step 2: Convert to fraction form
    16,296.36/22,487.72 = 9,223.26/x
  3. Step 3: Cross multiply
    16,296.36x = 22,487.72 × 9,223.26
  4. Step 4: Simplify right side
    16,296.36x = 207,410,042.25
  5. Step 5: Solve for x
    x = 207,410,042.25/16,296.36
  6. Step 6: Final answer
    x = 12,727.38

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Why These Related Problems?

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