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Finding the Fourth Proportional to 13,941.20, 20,911.80 and 10,830.80

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Solution

The fourth proportional to 13,941.20, 20,911.80 and 10,830.80 is: 16,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.20 : 20,911.80 = 10,830.80 : x
  2. Step 2: Convert to fraction form
    13,941.20/20,911.80 = 10,830.80/x
  3. Step 3: Cross multiply
    13,941.20x = 20,911.80 × 10,830.80
  4. Step 4: Simplify right side
    13,941.20x = 226,491,523.44
  5. Step 5: Solve for x
    x = 226,491,523.44/13,941.20
  6. Step 6: Final answer
    x = 16,246.20

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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.