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Finding the Fourth Proportional to 12,923.20, 19,413.60 and 12,398.40

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Solution

The fourth proportional to 12,923.20, 19,413.60 and 12,398.40 is: 18,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.20 : 19,413.60 = 12,398.40 : x
  2. Step 2: Convert to fraction form
    12,923.20/19,413.60 = 12,398.40/x
  3. Step 3: Cross multiply
    12,923.20x = 19,413.60 × 12,398.40
  4. Step 4: Simplify right side
    12,923.20x = 240,697,578.24
  5. Step 5: Solve for x
    x = 240,697,578.24/12,923.20
  6. Step 6: Final answer
    x = 18,625.23

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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.