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Finding the Fourth Proportional to 20,986.80, 31,480.20 and 20,014.80

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Solution

The fourth proportional to 20,986.80, 31,480.20 and 20,014.80 is: 30,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.80 : 31,480.20 = 20,014.80 : x
  2. Step 2: Convert to fraction form
    20,986.80/31,480.20 = 20,014.80/x
  3. Step 3: Cross multiply
    20,986.80x = 31,480.20 × 20,014.80
  4. Step 4: Simplify right side
    20,986.80x = 630,069,906.96
  5. Step 5: Solve for x
    x = 630,069,906.96/20,986.80
  6. Step 6: Final answer
    x = 30,022.20

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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.