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Finding the Fourth Proportional to 13,674.87, 20,517.39 and 5,779.44

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Solution

The fourth proportional to 13,674.87, 20,517.39 and 5,779.44 is: 8,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.87 : 20,517.39 = 5,779.44 : x
  2. Step 2: Convert to fraction form
    13,674.87/20,517.39 = 5,779.44/x
  3. Step 3: Cross multiply
    13,674.87x = 20,517.39 × 5,779.44
  4. Step 4: Simplify right side
    13,674.87x = 118,579,024.46
  5. Step 5: Solve for x
    x = 118,579,024.46/13,674.87
  6. Step 6: Final answer
    x = 8,671.31

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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.