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Finding the Fourth Proportional to 12,924.26, 17,830.94 and 8,450.63

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Solution

The fourth proportional to 12,924.26, 17,830.94 and 8,450.63 is: 11,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.26 : 17,830.94 = 8,450.63 : x
  2. Step 2: Convert to fraction form
    12,924.26/17,830.94 = 8,450.63/x
  3. Step 3: Cross multiply
    12,924.26x = 17,830.94 × 8,450.63
  4. Step 4: Simplify right side
    12,924.26x = 150,682,611.95
  5. Step 5: Solve for x
    x = 150,682,611.95/12,924.26
  6. Step 6: Final answer
    x = 11,658.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.