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Finding the Fourth Proportional to 13,771.25, 20,656.82 and 3,910.53

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Solution

The fourth proportional to 13,771.25, 20,656.82 and 3,910.53 is: 5,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.25 : 20,656.82 = 3,910.53 : x
  2. Step 2: Convert to fraction form
    13,771.25/20,656.82 = 3,910.53/x
  3. Step 3: Cross multiply
    13,771.25x = 20,656.82 × 3,910.53
  4. Step 4: Simplify right side
    13,771.25x = 80,779,114.31
  5. Step 5: Solve for x
    x = 80,779,114.31/13,771.25
  6. Step 6: Final answer
    x = 5,865.78

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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.