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Finding the Fourth Proportional to 12,446.24, 18,625.48 and 7,768.44

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Solution

The fourth proportional to 12,446.24, 18,625.48 and 7,768.44 is: 11,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.24 : 18,625.48 = 7,768.44 : x
  2. Step 2: Convert to fraction form
    12,446.24/18,625.48 = 7,768.44/x
  3. Step 3: Cross multiply
    12,446.24x = 18,625.48 × 7,768.44
  4. Step 4: Simplify right side
    12,446.24x = 144,690,904.43
  5. Step 5: Solve for x
    x = 144,690,904.43/12,446.24
  6. Step 6: Final answer
    x = 11,625.27

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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.