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Finding the Fourth Proportional to 20,605.12, 30,920.37 and 8,123.02

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Solution

The fourth proportional to 20,605.12, 30,920.37 and 8,123.02 is: 12,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.12 : 30,920.37 = 8,123.02 : x
  2. Step 2: Convert to fraction form
    20,605.12/30,920.37 = 8,123.02/x
  3. Step 3: Cross multiply
    20,605.12x = 30,920.37 × 8,123.02
  4. Step 4: Simplify right side
    20,605.12x = 251,166,783.92
  5. Step 5: Solve for x
    x = 251,166,783.92/20,605.12
  6. Step 6: Final answer
    x = 12,189.53

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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.