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Finding the Fourth Proportional to 13,893.40, 20,813.93 and 6,865.19

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Solution

The fourth proportional to 13,893.40, 20,813.93 and 6,865.19 is: 10,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.40 : 20,813.93 = 6,865.19 : x
  2. Step 2: Convert to fraction form
    13,893.40/20,813.93 = 6,865.19/x
  3. Step 3: Cross multiply
    13,893.40x = 20,813.93 × 6,865.19
  4. Step 4: Simplify right side
    13,893.40x = 142,891,584.10
  5. Step 5: Solve for x
    x = 142,891,584.10/13,893.40
  6. Step 6: Final answer
    x = 10,284.85

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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.