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Finding the Fourth Proportional to 12,878.67, 19,319.31 and 3,993.69

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Solution

The fourth proportional to 12,878.67, 19,319.31 and 3,993.69 is: 5,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.67 : 19,319.31 = 3,993.69 : x
  2. Step 2: Convert to fraction form
    12,878.67/19,319.31 = 3,993.69/x
  3. Step 3: Cross multiply
    12,878.67x = 19,319.31 × 3,993.69
  4. Step 4: Simplify right side
    12,878.67x = 77,155,335.15
  5. Step 5: Solve for x
    x = 77,155,335.15/12,878.67
  6. Step 6: Final answer
    x = 5,990.94

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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.