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Finding the Fourth Proportional to 13,238.42, 18,268.97 and 7,270.47

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Solution

The fourth proportional to 13,238.42, 18,268.97 and 7,270.47 is: 10,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.42 : 18,268.97 = 7,270.47 : x
  2. Step 2: Convert to fraction form
    13,238.42/18,268.97 = 7,270.47/x
  3. Step 3: Cross multiply
    13,238.42x = 18,268.97 × 7,270.47
  4. Step 4: Simplify right side
    13,238.42x = 132,823,961.96
  5. Step 5: Solve for x
    x = 132,823,961.96/13,238.42
  6. Step 6: Final answer
    x = 10,033.22

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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.