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Finding the Fourth Proportional to 19,793.96, 29,686.38 and 5,750.79

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Solution

The fourth proportional to 19,793.96, 29,686.38 and 5,750.79 is: 8,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.96 : 29,686.38 = 5,750.79 : x
  2. Step 2: Convert to fraction form
    19,793.96/29,686.38 = 5,750.79/x
  3. Step 3: Cross multiply
    19,793.96x = 29,686.38 × 5,750.79
  4. Step 4: Simplify right side
    19,793.96x = 170,720,137.24
  5. Step 5: Solve for x
    x = 170,720,137.24/19,793.96
  6. Step 6: Final answer
    x = 8,624.86

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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.