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Finding the Fourth Proportional to 12,413.16, 18,617.52 and 4,093.28

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Solution

The fourth proportional to 12,413.16, 18,617.52 and 4,093.28 is: 6,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.16 : 18,617.52 = 4,093.28 : x
  2. Step 2: Convert to fraction form
    12,413.16/18,617.52 = 4,093.28/x
  3. Step 3: Cross multiply
    12,413.16x = 18,617.52 × 4,093.28
  4. Step 4: Simplify right side
    12,413.16x = 76,206,722.27
  5. Step 5: Solve for x
    x = 76,206,722.27/12,413.16
  6. Step 6: Final answer
    x = 6,139.19

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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.