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Finding the Fourth Proportional to 20,203.62, 30,303.06 and 5,413.80

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Solution

The fourth proportional to 20,203.62, 30,303.06 and 5,413.80 is: 8,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.62 : 30,303.06 = 5,413.80 : x
  2. Step 2: Convert to fraction form
    20,203.62/30,303.06 = 5,413.80/x
  3. Step 3: Cross multiply
    20,203.62x = 30,303.06 × 5,413.80
  4. Step 4: Simplify right side
    20,203.62x = 164,054,706.23
  5. Step 5: Solve for x
    x = 164,054,706.23/20,203.62
  6. Step 6: Final answer
    x = 8,120.06

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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.