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Finding the Fourth Proportional to 13,186.66, 18,197.64 and 7,218.38

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Solution

The fourth proportional to 13,186.66, 18,197.64 and 7,218.38 is: 9,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.66 : 18,197.64 = 7,218.38 : x
  2. Step 2: Convert to fraction form
    13,186.66/18,197.64 = 7,218.38/x
  3. Step 3: Cross multiply
    13,186.66x = 18,197.64 × 7,218.38
  4. Step 4: Simplify right side
    13,186.66x = 131,357,480.62
  5. Step 5: Solve for x
    x = 131,357,480.62/13,186.66
  6. Step 6: Final answer
    x = 9,961.39

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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.