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Finding the Fourth Proportional to 20,123.70, 30,189.15 and 8,438.10

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Solution

The fourth proportional to 20,123.70, 30,189.15 and 8,438.10 is: 12,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.70 : 30,189.15 = 8,438.10 : x
  2. Step 2: Convert to fraction form
    20,123.70/30,189.15 = 8,438.10/x
  3. Step 3: Cross multiply
    20,123.70x = 30,189.15 × 8,438.10
  4. Step 4: Simplify right side
    20,123.70x = 254,739,066.62
  5. Step 5: Solve for x
    x = 254,739,066.62/20,123.70
  6. Step 6: Final answer
    x = 12,658.66

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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.