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Finding the Fourth Proportional to 16,469.36, 22,725.60 and 9,395.36

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Solution

The fourth proportional to 16,469.36, 22,725.60 and 9,395.36 is: 12,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.36 : 22,725.60 = 9,395.36 : x
  2. Step 2: Convert to fraction form
    16,469.36/22,725.60 = 9,395.36/x
  3. Step 3: Cross multiply
    16,469.36x = 22,725.60 × 9,395.36
  4. Step 4: Simplify right side
    16,469.36x = 213,515,193.22
  5. Step 5: Solve for x
    x = 213,515,193.22/16,469.36
  6. Step 6: Final answer
    x = 12,964.39

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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.