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Finding the Fourth Proportional to 20,579.50, 30,829.81 and 12,234.25

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Solution

The fourth proportional to 20,579.50, 30,829.81 and 12,234.25 is: 18,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.50 : 30,829.81 = 12,234.25 : x
  2. Step 2: Convert to fraction form
    20,579.50/30,829.81 = 12,234.25/x
  3. Step 3: Cross multiply
    20,579.50x = 30,829.81 × 12,234.25
  4. Step 4: Simplify right side
    20,579.50x = 377,179,602.99
  5. Step 5: Solve for x
    x = 377,179,602.99/20,579.50
  6. Step 6: Final answer
    x = 18,327.93

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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.