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Finding the Fourth Proportional to 13,241.42, 18,274.14 and 8,206.63

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Solution

The fourth proportional to 13,241.42, 18,274.14 and 8,206.63 is: 11,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.42 : 18,274.14 = 8,206.63 : x
  2. Step 2: Convert to fraction form
    13,241.42/18,274.14 = 8,206.63/x
  3. Step 3: Cross multiply
    13,241.42x = 18,274.14 × 8,206.63
  4. Step 4: Simplify right side
    13,241.42x = 149,969,105.55
  5. Step 5: Solve for x
    x = 149,969,105.55/13,241.42
  6. Step 6: Final answer
    x = 11,325.76

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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.