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Finding the Fourth Proportional to 20,107.70, 30,161.55 and 9,002.60

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Solution

The fourth proportional to 20,107.70, 30,161.55 and 9,002.60 is: 13,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.70 : 30,161.55 = 9,002.60 : x
  2. Step 2: Convert to fraction form
    20,107.70/30,161.55 = 9,002.60/x
  3. Step 3: Cross multiply
    20,107.70x = 30,161.55 × 9,002.60
  4. Step 4: Simplify right side
    20,107.70x = 271,532,370.03
  5. Step 5: Solve for x
    x = 271,532,370.03/20,107.70
  6. Step 6: Final answer
    x = 13,503.90

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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.