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Finding the Fourth Proportional to 20,238.74, 30,371.75 and 7,091.23

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Solution

The fourth proportional to 20,238.74, 30,371.75 and 7,091.23 is: 10,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.74 : 30,371.75 = 7,091.23 : x
  2. Step 2: Convert to fraction form
    20,238.74/30,371.75 = 7,091.23/x
  3. Step 3: Cross multiply
    20,238.74x = 30,371.75 × 7,091.23
  4. Step 4: Simplify right side
    20,238.74x = 215,373,064.75
  5. Step 5: Solve for x
    x = 215,373,064.75/20,238.74
  6. Step 6: Final answer
    x = 10,641.62

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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.