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Finding the Fourth Proportional to 20,102.80, 30,148.80 and 8,413.60

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Solution

The fourth proportional to 20,102.80, 30,148.80 and 8,413.60 is: 12,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.80 : 30,148.80 = 8,413.60 : x
  2. Step 2: Convert to fraction form
    20,102.80/30,148.80 = 8,413.60/x
  3. Step 3: Cross multiply
    20,102.80x = 30,148.80 × 8,413.60
  4. Step 4: Simplify right side
    20,102.80x = 253,659,943.68
  5. Step 5: Solve for x
    x = 253,659,943.68/20,102.80
  6. Step 6: Final answer
    x = 12,618.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.