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Finding the Fourth Proportional to 20,147.20, 30,220.80 and 12,784.30

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Solution

The fourth proportional to 20,147.20, 30,220.80 and 12,784.30 is: 19,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.20 : 30,220.80 = 12,784.30 : x
  2. Step 2: Convert to fraction form
    20,147.20/30,220.80 = 12,784.30/x
  3. Step 3: Cross multiply
    20,147.20x = 30,220.80 × 12,784.30
  4. Step 4: Simplify right side
    20,147.20x = 386,351,773.44
  5. Step 5: Solve for x
    x = 386,351,773.44/20,147.20
  6. Step 6: Final answer
    x = 19,176.45

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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.