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Finding the Fourth Proportional to 12,809.80, 19,216.68 and 5,413.60

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Solution

The fourth proportional to 12,809.80, 19,216.68 and 5,413.60 is: 8,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.80 : 19,216.68 = 5,413.60 : x
  2. Step 2: Convert to fraction form
    12,809.80/19,216.68 = 5,413.60/x
  3. Step 3: Cross multiply
    12,809.80x = 19,216.68 × 5,413.60
  4. Step 4: Simplify right side
    12,809.80x = 104,031,418.85
  5. Step 5: Solve for x
    x = 104,031,418.85/12,809.80
  6. Step 6: Final answer
    x = 8,121.24

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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.