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Finding the Fourth Proportional to 19,874.41, 29,805.42 and 5,830.94

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Solution

The fourth proportional to 19,874.41, 29,805.42 and 5,830.94 is: 8,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.41 : 29,805.42 = 5,830.94 : x
  2. Step 2: Convert to fraction form
    19,874.41/29,805.42 = 5,830.94/x
  3. Step 3: Cross multiply
    19,874.41x = 29,805.42 × 5,830.94
  4. Step 4: Simplify right side
    19,874.41x = 173,793,511.62
  5. Step 5: Solve for x
    x = 173,793,511.62/19,874.41
  6. Step 6: Final answer
    x = 8,744.59

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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.