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Finding the Fourth Proportional to 13,241.80, 18,270.66 and 8,206.12

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Solution

The fourth proportional to 13,241.80, 18,270.66 and 8,206.12 is: 11,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.80 : 18,270.66 = 8,206.12 : x
  2. Step 2: Convert to fraction form
    13,241.80/18,270.66 = 8,206.12/x
  3. Step 3: Cross multiply
    13,241.80x = 18,270.66 × 8,206.12
  4. Step 4: Simplify right side
    13,241.80x = 149,931,228.44
  5. Step 5: Solve for x
    x = 149,931,228.44/13,241.80
  6. Step 6: Final answer
    x = 11,322.57

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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.