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Finding the Fourth Proportional to 12,967.38, 19,446.99 and 4,200.26

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Solution

The fourth proportional to 12,967.38, 19,446.99 and 4,200.26 is: 6,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.38 : 19,446.99 = 4,200.26 : x
  2. Step 2: Convert to fraction form
    12,967.38/19,446.99 = 4,200.26/x
  3. Step 3: Cross multiply
    12,967.38x = 19,446.99 × 4,200.26
  4. Step 4: Simplify right side
    12,967.38x = 81,682,414.22
  5. Step 5: Solve for x
    x = 81,682,414.22/12,967.38
  6. Step 6: Final answer
    x = 6,299.07

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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.