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Finding the Fourth Proportional to 20,438.38, 30,646.03 and 7,105.24

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Solution

The fourth proportional to 20,438.38, 30,646.03 and 7,105.24 is: 10,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.38 : 30,646.03 = 7,105.24 : x
  2. Step 2: Convert to fraction form
    20,438.38/30,646.03 = 7,105.24/x
  3. Step 3: Cross multiply
    20,438.38x = 30,646.03 × 7,105.24
  4. Step 4: Simplify right side
    20,438.38x = 217,747,398.20
  5. Step 5: Solve for x
    x = 217,747,398.20/20,438.38
  6. Step 6: Final answer
    x = 10,653.85

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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.