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Finding the Fourth Proportional to 12,939.14, 19,413.63 and 5,153.42

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Solution

The fourth proportional to 12,939.14, 19,413.63 and 5,153.42 is: 7,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.14 : 19,413.63 = 5,153.42 : x
  2. Step 2: Convert to fraction form
    12,939.14/19,413.63 = 5,153.42/x
  3. Step 3: Cross multiply
    12,939.14x = 19,413.63 × 5,153.42
  4. Step 4: Simplify right side
    12,939.14x = 100,046,589.11
  5. Step 5: Solve for x
    x = 100,046,589.11/12,939.14
  6. Step 6: Final answer
    x = 7,732.09

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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.