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Finding the Fourth Proportional to 19,644.50, 29,472.16 and 5,793.50

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Solution

The fourth proportional to 19,644.50, 29,472.16 and 5,793.50 is: 8,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.50 : 29,472.16 = 5,793.50 : x
  2. Step 2: Convert to fraction form
    19,644.50/29,472.16 = 5,793.50/x
  3. Step 3: Cross multiply
    19,644.50x = 29,472.16 × 5,793.50
  4. Step 4: Simplify right side
    19,644.50x = 170,746,958.96
  5. Step 5: Solve for x
    x = 170,746,958.96/19,644.50
  6. Step 6: Final answer
    x = 8,691.85

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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.