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Finding the Fourth Proportional to 16,383.78, 24,581.10 and 6,520.40

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Solution

The fourth proportional to 16,383.78, 24,581.10 and 6,520.40 is: 9,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.78 : 24,581.10 = 6,520.40 : x
  2. Step 2: Convert to fraction form
    16,383.78/24,581.10 = 6,520.40/x
  3. Step 3: Cross multiply
    16,383.78x = 24,581.10 × 6,520.40
  4. Step 4: Simplify right side
    16,383.78x = 160,278,604.44
  5. Step 5: Solve for x
    x = 160,278,604.44/16,383.78
  6. Step 6: Final answer
    x = 9,782.76

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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.