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Finding the Fourth Proportional to 20,133.40, 30,204.90 and 10,274.20

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Solution

The fourth proportional to 20,133.40, 30,204.90 and 10,274.20 is: 15,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.40 : 30,204.90 = 10,274.20 : x
  2. Step 2: Convert to fraction form
    20,133.40/30,204.90 = 10,274.20/x
  3. Step 3: Cross multiply
    20,133.40x = 30,204.90 × 10,274.20
  4. Step 4: Simplify right side
    20,133.40x = 310,331,183.58
  5. Step 5: Solve for x
    x = 310,331,183.58/20,133.40
  6. Step 6: Final answer
    x = 15,413.75

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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.