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Finding the Fourth Proportional to 20,123.80, 30,173.70 and 12,338.20

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Solution

The fourth proportional to 20,123.80, 30,173.70 and 12,338.20 is: 18,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.80 : 30,173.70 = 12,338.20 : x
  2. Step 2: Convert to fraction form
    20,123.80/30,173.70 = 12,338.20/x
  3. Step 3: Cross multiply
    20,123.80x = 30,173.70 × 12,338.20
  4. Step 4: Simplify right side
    20,123.80x = 372,289,145.34
  5. Step 5: Solve for x
    x = 372,289,145.34/20,123.80
  6. Step 6: Final answer
    x = 18,499.94

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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.