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Finding the Fourth Proportional to 27,208.36, 40,778.70 and 12,413.32

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Solution

The fourth proportional to 27,208.36, 40,778.70 and 12,413.32 is: 18,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.36 : 40,778.70 = 12,413.32 : x
  2. Step 2: Convert to fraction form
    27,208.36/40,778.70 = 12,413.32/x
  3. Step 3: Cross multiply
    27,208.36x = 40,778.70 × 12,413.32
  4. Step 4: Simplify right side
    27,208.36x = 506,199,052.28
  5. Step 5: Solve for x
    x = 506,199,052.28/27,208.36
  6. Step 6: Final answer
    x = 18,604.54

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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.