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Finding the Fourth Proportional to 19,850.27, 29,782.69 and 8,164.40

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Solution

The fourth proportional to 19,850.27, 29,782.69 and 8,164.40 is: 12,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.27 : 29,782.69 = 8,164.40 : x
  2. Step 2: Convert to fraction form
    19,850.27/29,782.69 = 8,164.40/x
  3. Step 3: Cross multiply
    19,850.27x = 29,782.69 × 8,164.40
  4. Step 4: Simplify right side
    19,850.27x = 243,157,624.91
  5. Step 5: Solve for x
    x = 243,157,624.91/19,850.27
  6. Step 6: Final answer
    x = 12,249.59

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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.