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Finding the Fourth Proportional to 11,884.85, 17,827.22 and 3,000.20

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Solution

The fourth proportional to 11,884.85, 17,827.22 and 3,000.20 is: 4,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.85 : 17,827.22 = 3,000.20 : x
  2. Step 2: Convert to fraction form
    11,884.85/17,827.22 = 3,000.20/x
  3. Step 3: Cross multiply
    11,884.85x = 17,827.22 × 3,000.20
  4. Step 4: Simplify right side
    11,884.85x = 53,485,225.44
  5. Step 5: Solve for x
    x = 53,485,225.44/11,884.85
  6. Step 6: Final answer
    x = 4,500.29

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Similar ratio
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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.