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Finding the Fourth Proportional to 20,609.40, 30,914.10 and 13,222.20

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Solution

The fourth proportional to 20,609.40, 30,914.10 and 13,222.20 is: 19,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.40 : 30,914.10 = 13,222.20 : x
  2. Step 2: Convert to fraction form
    20,609.40/30,914.10 = 13,222.20/x
  3. Step 3: Cross multiply
    20,609.40x = 30,914.10 × 13,222.20
  4. Step 4: Simplify right side
    20,609.40x = 408,752,413.02
  5. Step 5: Solve for x
    x = 408,752,413.02/20,609.40
  6. Step 6: Final answer
    x = 19,833.30

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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.