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Finding the Fourth Proportional to 12,809.09, 19,215.62 and 5,413.58

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Solution

The fourth proportional to 12,809.09, 19,215.62 and 5,413.58 is: 8,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.09 : 19,215.62 = 5,413.58 : x
  2. Step 2: Convert to fraction form
    12,809.09/19,215.62 = 5,413.58/x
  3. Step 3: Cross multiply
    12,809.09x = 19,215.62 × 5,413.58
  4. Step 4: Simplify right side
    12,809.09x = 104,025,172.97
  5. Step 5: Solve for x
    x = 104,025,172.97/12,809.09
  6. Step 6: Final answer
    x = 8,121.20

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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.