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Finding the Fourth Proportional to 26,829.66, 40,244.49 and 9,299.49

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Solution

The fourth proportional to 26,829.66, 40,244.49 and 9,299.49 is: 13,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829.66 : 40,244.49 = 9,299.49 : x
  2. Step 2: Convert to fraction form
    26,829.66/40,244.49 = 9,299.49/x
  3. Step 3: Cross multiply
    26,829.66x = 40,244.49 × 9,299.49
  4. Step 4: Simplify right side
    26,829.66x = 374,253,232.31
  5. Step 5: Solve for x
    x = 374,253,232.31/26,829.66
  6. Step 6: Final answer
    x = 13,949.24

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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.