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Finding the Fourth Proportional to 12,520.86, 17,284.23 and 8,321.82

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Solution

The fourth proportional to 12,520.86, 17,284.23 and 8,321.82 is: 11,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,520.86 : 17,284.23 = 8,321.82 : x
  2. Step 2: Convert to fraction form
    12,520.86/17,284.23 = 8,321.82/x
  3. Step 3: Cross multiply
    12,520.86x = 17,284.23 × 8,321.82
  4. Step 4: Simplify right side
    12,520.86x = 143,836,250.90
  5. Step 5: Solve for x
    x = 143,836,250.90/12,520.86
  6. Step 6: Final answer
    x = 11,487.73

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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.