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Finding the Fourth Proportional to 13,801.38, 20,702.06 and 3,413.13

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Solution

The fourth proportional to 13,801.38, 20,702.06 and 3,413.13 is: 5,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.38 : 20,702.06 = 3,413.13 : x
  2. Step 2: Convert to fraction form
    13,801.38/20,702.06 = 3,413.13/x
  3. Step 3: Cross multiply
    13,801.38x = 20,702.06 × 3,413.13
  4. Step 4: Simplify right side
    13,801.38x = 70,658,822.05
  5. Step 5: Solve for x
    x = 70,658,822.05/13,801.38
  6. Step 6: Final answer
    x = 5,119.69

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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.