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Finding the Fourth Proportional to 13,198.66, 18,212.93 and 7,533.36

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Solution

The fourth proportional to 13,198.66, 18,212.93 and 7,533.36 is: 10,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.66 : 18,212.93 = 7,533.36 : x
  2. Step 2: Convert to fraction form
    13,198.66/18,212.93 = 7,533.36/x
  3. Step 3: Cross multiply
    13,198.66x = 18,212.93 × 7,533.36
  4. Step 4: Simplify right side
    13,198.66x = 137,204,540.55
  5. Step 5: Solve for x
    x = 137,204,540.55/13,198.66
  6. Step 6: Final answer
    x = 10,395.34

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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.