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Finding the Fourth Proportional to 20,238.26, 30,359.94 and 10,865.40

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Solution

The fourth proportional to 20,238.26, 30,359.94 and 10,865.40 is: 16,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.26 : 30,359.94 = 10,865.40 : x
  2. Step 2: Convert to fraction form
    20,238.26/30,359.94 = 10,865.40/x
  3. Step 3: Cross multiply
    20,238.26x = 30,359.94 × 10,865.40
  4. Step 4: Simplify right side
    20,238.26x = 329,872,853.43
  5. Step 5: Solve for x
    x = 329,872,853.43/20,238.26
  6. Step 6: Final answer
    x = 16,299.46

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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.