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Finding the Fourth Proportional to 13,808.25, 20,699.72 and 5,380.44

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Solution

The fourth proportional to 13,808.25, 20,699.72 and 5,380.44 is: 8,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.25 : 20,699.72 = 5,380.44 : x
  2. Step 2: Convert to fraction form
    13,808.25/20,699.72 = 5,380.44/x
  3. Step 3: Cross multiply
    13,808.25x = 20,699.72 × 5,380.44
  4. Step 4: Simplify right side
    13,808.25x = 111,373,517.13
  5. Step 5: Solve for x
    x = 111,373,517.13/13,808.25
  6. Step 6: Final answer
    x = 8,065.72

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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.