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Finding the Fourth Proportional to 12,829.18, 19,245.09 and 3,469.24

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Solution

The fourth proportional to 12,829.18, 19,245.09 and 3,469.24 is: 5,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.18 : 19,245.09 = 3,469.24 : x
  2. Step 2: Convert to fraction form
    12,829.18/19,245.09 = 3,469.24/x
  3. Step 3: Cross multiply
    12,829.18x = 19,245.09 × 3,469.24
  4. Step 4: Simplify right side
    12,829.18x = 66,765,836.03
  5. Step 5: Solve for x
    x = 66,765,836.03/12,829.18
  6. Step 6: Final answer
    x = 5,204.22

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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.