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Finding the Fourth Proportional to 22,763.52, 31,413.69 and 13,205.23

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Solution

The fourth proportional to 22,763.52, 31,413.69 and 13,205.23 is: 18,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.52 : 31,413.69 = 13,205.23 : x
  2. Step 2: Convert to fraction form
    22,763.52/31,413.69 = 13,205.23/x
  3. Step 3: Cross multiply
    22,763.52x = 31,413.69 × 13,205.23
  4. Step 4: Simplify right side
    22,763.52x = 414,824,923.06
  5. Step 5: Solve for x
    x = 414,824,923.06/22,763.52
  6. Step 6: Final answer
    x = 18,223.23

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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.