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Finding the Fourth Proportional to 13,801.80, 20,702.70 and 3,413.55

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Solution

The fourth proportional to 13,801.80, 20,702.70 and 3,413.55 is: 5,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.80 : 20,702.70 = 3,413.55 : x
  2. Step 2: Convert to fraction form
    13,801.80/20,702.70 = 3,413.55/x
  3. Step 3: Cross multiply
    13,801.80x = 20,702.70 × 3,413.55
  4. Step 4: Simplify right side
    13,801.80x = 70,669,701.59
  5. Step 5: Solve for x
    x = 70,669,701.59/13,801.80
  6. Step 6: Final answer
    x = 5,120.33

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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.