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Finding the Fourth Proportional to 12,647.25, 18,970.88 and 3,413.25

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Solution

The fourth proportional to 12,647.25, 18,970.88 and 3,413.25 is: 5,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.25 : 18,970.88 = 3,413.25 : x
  2. Step 2: Convert to fraction form
    12,647.25/18,970.88 = 3,413.25/x
  3. Step 3: Cross multiply
    12,647.25x = 18,970.88 × 3,413.25
  4. Step 4: Simplify right side
    12,647.25x = 64,752,339.09
  5. Step 5: Solve for x
    x = 64,752,339.09/12,647.25
  6. Step 6: Final answer
    x = 5,119.88

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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.