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Finding the Fourth Proportional to 19,880.20, 29,794.38 and 8,180.20

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Solution

The fourth proportional to 19,880.20, 29,794.38 and 8,180.20 is: 12,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.20 : 29,794.38 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    19,880.20/29,794.38 = 8,180.20/x
  3. Step 3: Cross multiply
    19,880.20x = 29,794.38 × 8,180.20
  4. Step 4: Simplify right side
    19,880.20x = 243,723,987.28
  5. Step 5: Solve for x
    x = 243,723,987.28/19,880.20
  6. Step 6: Final answer
    x = 12,259.63

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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.