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Finding the Fourth Proportional to 20,579, 30,863.82 and 5,789.36

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Solution

The fourth proportional to 20,579, 30,863.82 and 5,789.36 is: 8,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579 : 30,863.82 = 5,789.36 : x
  2. Step 2: Convert to fraction form
    20,579/30,863.82 = 5,789.36/x
  3. Step 3: Cross multiply
    20,579x = 30,863.82 × 5,789.36
  4. Step 4: Simplify right side
    20,579x = 178,681,764.96
  5. Step 5: Solve for x
    x = 178,681,764.96/20,579
  6. Step 6: Final answer
    x = 8,682.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.