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Finding the Fourth Proportional to 20,200.10, 30,300.15 and 12,413.30

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Solution

The fourth proportional to 20,200.10, 30,300.15 and 12,413.30 is: 18,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.10 : 30,300.15 = 12,413.30 : x
  2. Step 2: Convert to fraction form
    20,200.10/30,300.15 = 12,413.30/x
  3. Step 3: Cross multiply
    20,200.10x = 30,300.15 × 12,413.30
  4. Step 4: Simplify right side
    20,200.10x = 376,124,852.00
  5. Step 5: Solve for x
    x = 376,124,852.00/20,200.10
  6. Step 6: Final answer
    x = 18,619.95

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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.