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Finding the Fourth Proportional to 20,384.26, 30,568.64 and 8,538.82

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Solution

The fourth proportional to 20,384.26, 30,568.64 and 8,538.82 is: 12,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.26 : 30,568.64 = 8,538.82 : x
  2. Step 2: Convert to fraction form
    20,384.26/30,568.64 = 8,538.82/x
  3. Step 3: Cross multiply
    20,384.26x = 30,568.64 × 8,538.82
  4. Step 4: Simplify right side
    20,384.26x = 261,020,114.60
  5. Step 5: Solve for x
    x = 261,020,114.60/20,384.26
  6. Step 6: Final answer
    x = 12,804.98

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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.