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Finding the Fourth Proportional to 13,229.82, 18,257.51 and 7,261.13

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Solution

The fourth proportional to 13,229.82, 18,257.51 and 7,261.13 is: 10,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.82 : 18,257.51 = 7,261.13 : x
  2. Step 2: Convert to fraction form
    13,229.82/18,257.51 = 7,261.13/x
  3. Step 3: Cross multiply
    13,229.82x = 18,257.51 × 7,261.13
  4. Step 4: Simplify right side
    13,229.82x = 132,570,153.59
  5. Step 5: Solve for x
    x = 132,570,153.59/13,229.82
  6. Step 6: Final answer
    x = 10,020.56

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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.