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Finding the Fourth Proportional to 27,834.97, 38,413.83 and 16,511.17

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Solution

The fourth proportional to 27,834.97, 38,413.83 and 16,511.17 is: 22,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.97 : 38,413.83 = 16,511.17 : x
  2. Step 2: Convert to fraction form
    27,834.97/38,413.83 = 16,511.17/x
  3. Step 3: Cross multiply
    27,834.97x = 38,413.83 × 16,511.17
  4. Step 4: Simplify right side
    27,834.97x = 634,257,277.48
  5. Step 5: Solve for x
    x = 634,257,277.48/27,834.97
  6. Step 6: Final answer
    x = 22,786.35

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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.