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Finding the Fourth Proportional to 20,588.69, 30,884.85 and 8,578.19

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Solution

The fourth proportional to 20,588.69, 30,884.85 and 8,578.19 is: 12,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.69 : 30,884.85 = 8,578.19 : x
  2. Step 2: Convert to fraction form
    20,588.69/30,884.85 = 8,578.19/x
  3. Step 3: Cross multiply
    20,588.69x = 30,884.85 × 8,578.19
  4. Step 4: Simplify right side
    20,588.69x = 264,936,188.63
  5. Step 5: Solve for x
    x = 264,936,188.63/20,588.69
  6. Step 6: Final answer
    x = 12,868.04

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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.