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Finding the Fourth Proportional to 20,503.20, 30,769.20 and 8,824.80

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Solution

The fourth proportional to 20,503.20, 30,769.20 and 8,824.80 is: 13,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.20 : 30,769.20 = 8,824.80 : x
  2. Step 2: Convert to fraction form
    20,503.20/30,769.20 = 8,824.80/x
  3. Step 3: Cross multiply
    20,503.20x = 30,769.20 × 8,824.80
  4. Step 4: Simplify right side
    20,503.20x = 271,532,036.16
  5. Step 5: Solve for x
    x = 271,532,036.16/20,503.20
  6. Step 6: Final answer
    x = 13,243.40

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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.