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Finding the Fourth Proportional to 13,186.57, 18,197.44 and 7,218.24

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Solution

The fourth proportional to 13,186.57, 18,197.44 and 7,218.24 is: 9,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.57 : 18,197.44 = 7,218.24 : x
  2. Step 2: Convert to fraction form
    13,186.57/18,197.44 = 7,218.24/x
  3. Step 3: Cross multiply
    13,186.57x = 18,197.44 × 7,218.24
  4. Step 4: Simplify right side
    13,186.57x = 131,353,489.31
  5. Step 5: Solve for x
    x = 131,353,489.31/13,186.57
  6. Step 6: Final answer
    x = 9,961.16

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