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Finding the Fourth Proportional to 19,644.75, 29,472.54 and 5,793.75

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Solution

The fourth proportional to 19,644.75, 29,472.54 and 5,793.75 is: 8,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.75 : 29,472.54 = 5,793.75 : x
  2. Step 2: Convert to fraction form
    19,644.75/29,472.54 = 5,793.75/x
  3. Step 3: Cross multiply
    19,644.75x = 29,472.54 × 5,793.75
  4. Step 4: Simplify right side
    19,644.75x = 170,756,499.66
  5. Step 5: Solve for x
    x = 170,756,499.66/19,644.75
  6. Step 6: Final answer
    x = 8,692.22

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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.