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Finding the Fourth Proportional to 13,186.38, 18,197.64 and 7,218.09

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Solution

The fourth proportional to 13,186.38, 18,197.64 and 7,218.09 is: 9,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.38 : 18,197.64 = 7,218.09 : x
  2. Step 2: Convert to fraction form
    13,186.38/18,197.64 = 7,218.09/x
  3. Step 3: Cross multiply
    13,186.38x = 18,197.64 × 7,218.09
  4. Step 4: Simplify right side
    13,186.38x = 131,352,203.31
  5. Step 5: Solve for x
    x = 131,352,203.31/13,186.38
  6. Step 6: Final answer
    x = 9,961.20

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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.