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Finding the Fourth Proportional to 13,229.74, 18,257.27 and 7,261.96

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Solution

The fourth proportional to 13,229.74, 18,257.27 and 7,261.96 is: 10,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.74 : 18,257.27 = 7,261.96 : x
  2. Step 2: Convert to fraction form
    13,229.74/18,257.27 = 7,261.96/x
  3. Step 3: Cross multiply
    13,229.74x = 18,257.27 × 7,261.96
  4. Step 4: Simplify right side
    13,229.74x = 132,583,564.45
  5. Step 5: Solve for x
    x = 132,583,564.45/13,229.74
  6. Step 6: Final answer
    x = 10,021.63

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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.