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Finding the Fourth Proportional to 13,754.51, 18,981.68 and 7,786.06

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Solution

The fourth proportional to 13,754.51, 18,981.68 and 7,786.06 is: 10,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.51 : 18,981.68 = 7,786.06 : x
  2. Step 2: Convert to fraction form
    13,754.51/18,981.68 = 7,786.06/x
  3. Step 3: Cross multiply
    13,754.51x = 18,981.68 × 7,786.06
  4. Step 4: Simplify right side
    13,754.51x = 147,792,413.00
  5. Step 5: Solve for x
    x = 147,792,413.00/13,754.51
  6. Step 6: Final answer
    x = 10,745.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.