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Finding the Fourth Proportional to 12,147.34, 18,221.01 and 3,828.64

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Solution

The fourth proportional to 12,147.34, 18,221.01 and 3,828.64 is: 5,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.34 : 18,221.01 = 3,828.64 : x
  2. Step 2: Convert to fraction form
    12,147.34/18,221.01 = 3,828.64/x
  3. Step 3: Cross multiply
    12,147.34x = 18,221.01 × 3,828.64
  4. Step 4: Simplify right side
    12,147.34x = 69,761,687.73
  5. Step 5: Solve for x
    x = 69,761,687.73/12,147.34
  6. Step 6: Final answer
    x = 5,742.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.