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Finding the Fourth Proportional to 12,813.67, 19,219.08 and 3,454.62

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Solution

The fourth proportional to 12,813.67, 19,219.08 and 3,454.62 is: 5,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.67 : 19,219.08 = 3,454.62 : x
  2. Step 2: Convert to fraction form
    12,813.67/19,219.08 = 3,454.62/x
  3. Step 3: Cross multiply
    12,813.67x = 19,219.08 × 3,454.62
  4. Step 4: Simplify right side
    12,813.67x = 66,394,618.15
  5. Step 5: Solve for x
    x = 66,394,618.15/12,813.67
  6. Step 6: Final answer
    x = 5,181.55

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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.