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Finding the Fourth Proportional to 19,645, 29,472.90 and 5,794

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Solution

The fourth proportional to 19,645, 29,472.90 and 5,794 is: 8,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645 : 29,472.90 = 5,794 : x
  2. Step 2: Convert to fraction form
    19,645/29,472.90 = 5,794/x
  3. Step 3: Cross multiply
    19,645x = 29,472.90 × 5,794
  4. Step 4: Simplify right side
    19,645x = 170,765,982.60
  5. Step 5: Solve for x
    x = 170,765,982.60/19,645
  6. Step 6: Final answer
    x = 8,692.59

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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.