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Finding the Fourth Proportional to 13,813.86, 20,706 and 5,482.33

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Solution

The fourth proportional to 13,813.86, 20,706 and 5,482.33 is: 8,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.86 : 20,706 = 5,482.33 : x
  2. Step 2: Convert to fraction form
    13,813.86/20,706 = 5,482.33/x
  3. Step 3: Cross multiply
    13,813.86x = 20,706 × 5,482.33
  4. Step 4: Simplify right side
    13,813.86x = 113,517,124.98
  5. Step 5: Solve for x
    x = 113,517,124.98/13,813.86
  6. Step 6: Final answer
    x = 8,217.63

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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.