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Finding the Fourth Proportional to 13,684.86, 20,550.74 and 8,450.84

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Solution

The fourth proportional to 13,684.86, 20,550.74 and 8,450.84 is: 12,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.86 : 20,550.74 = 8,450.84 : x
  2. Step 2: Convert to fraction form
    13,684.86/20,550.74 = 8,450.84/x
  3. Step 3: Cross multiply
    13,684.86x = 20,550.74 × 8,450.84
  4. Step 4: Simplify right side
    13,684.86x = 173,670,933.99
  5. Step 5: Solve for x
    x = 173,670,933.99/13,684.86
  6. Step 6: Final answer
    x = 12,690.74

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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.