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Finding the Fourth Proportional to 14,229.21, 19,635.21 and 8,261.31

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Solution

The fourth proportional to 14,229.21, 19,635.21 and 8,261.31 is: 11,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.21 : 19,635.21 = 8,261.31 : x
  2. Step 2: Convert to fraction form
    14,229.21/19,635.21 = 8,261.31/x
  3. Step 3: Cross multiply
    14,229.21x = 19,635.21 × 8,261.31
  4. Step 4: Simplify right side
    14,229.21x = 162,212,556.73
  5. Step 5: Solve for x
    x = 162,212,556.73/14,229.21
  6. Step 6: Final answer
    x = 11,399.97

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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.