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Finding the Fourth Proportional to 26,416.24, 39,622.34 and 7,696.42

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Solution

The fourth proportional to 26,416.24, 39,622.34 and 7,696.42 is: 11,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.24 : 39,622.34 = 7,696.42 : x
  2. Step 2: Convert to fraction form
    26,416.24/39,622.34 = 7,696.42/x
  3. Step 3: Cross multiply
    26,416.24x = 39,622.34 × 7,696.42
  4. Step 4: Simplify right side
    26,416.24x = 304,950,170.02
  5. Step 5: Solve for x
    x = 304,950,170.02/26,416.24
  6. Step 6: Final answer
    x = 11,544.04

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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.