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Finding the Fourth Proportional to 13,584.69, 20,355.17 and 8,379.63

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Solution

The fourth proportional to 13,584.69, 20,355.17 and 8,379.63 is: 12,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.69 : 20,355.17 = 8,379.63 : x
  2. Step 2: Convert to fraction form
    13,584.69/20,355.17 = 8,379.63/x
  3. Step 3: Cross multiply
    13,584.69x = 20,355.17 × 8,379.63
  4. Step 4: Simplify right side
    13,584.69x = 170,568,751.29
  5. Step 5: Solve for x
    x = 170,568,751.29/13,584.69
  6. Step 6: Final answer
    x = 12,555.95

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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.