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Finding the Fourth Proportional to 19,674.30, 29,511.39 and 6,166.50

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Solution

The fourth proportional to 19,674.30, 29,511.39 and 6,166.50 is: 9,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.30 : 29,511.39 = 6,166.50 : x
  2. Step 2: Convert to fraction form
    19,674.30/29,511.39 = 6,166.50/x
  3. Step 3: Cross multiply
    19,674.30x = 29,511.39 × 6,166.50
  4. Step 4: Simplify right side
    19,674.30x = 181,981,986.44
  5. Step 5: Solve for x
    x = 181,981,986.44/19,674.30
  6. Step 6: Final answer
    x = 9,249.73

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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.