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Finding the Fourth Proportional to 20,342.26, 30,511.56 and 7,193.98

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Solution

The fourth proportional to 20,342.26, 30,511.56 and 7,193.98 is: 10,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.26 : 30,511.56 = 7,193.98 : x
  2. Step 2: Convert to fraction form
    20,342.26/30,511.56 = 7,193.98/x
  3. Step 3: Cross multiply
    20,342.26x = 30,511.56 × 7,193.98
  4. Step 4: Simplify right side
    20,342.26x = 219,499,552.41
  5. Step 5: Solve for x
    x = 219,499,552.41/20,342.26
  6. Step 6: Final answer
    x = 10,790.32

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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.