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Finding the Fourth Proportional to 20,143.26, 30,196.26 and 7,659.54

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Solution

The fourth proportional to 20,143.26, 30,196.26 and 7,659.54 is: 11,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.26 : 30,196.26 = 7,659.54 : x
  2. Step 2: Convert to fraction form
    20,143.26/30,196.26 = 7,659.54/x
  3. Step 3: Cross multiply
    20,143.26x = 30,196.26 × 7,659.54
  4. Step 4: Simplify right side
    20,143.26x = 231,289,461.32
  5. Step 5: Solve for x
    x = 231,289,461.32/20,143.26
  6. Step 6: Final answer
    x = 11,482.23

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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.