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Finding the Fourth Proportional to 26,202.26, 39,298.94 and 8,672.24

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Solution

The fourth proportional to 26,202.26, 39,298.94 and 8,672.24 is: 13,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.26 : 39,298.94 = 8,672.24 : x
  2. Step 2: Convert to fraction form
    26,202.26/39,298.94 = 8,672.24/x
  3. Step 3: Cross multiply
    26,202.26x = 39,298.94 × 8,672.24
  4. Step 4: Simplify right side
    26,202.26x = 340,809,839.43
  5. Step 5: Solve for x
    x = 340,809,839.43/26,202.26
  6. Step 6: Final answer
    x = 13,006.89

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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.