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Finding the Fourth Proportional to 20,322.48, 30,474 and 8,629.32

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Solution

The fourth proportional to 20,322.48, 30,474 and 8,629.32 is: 12,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.48 : 30,474 = 8,629.32 : x
  2. Step 2: Convert to fraction form
    20,322.48/30,474 = 8,629.32/x
  3. Step 3: Cross multiply
    20,322.48x = 30,474 × 8,629.32
  4. Step 4: Simplify right side
    20,322.48x = 262,969,897.68
  5. Step 5: Solve for x
    x = 262,969,897.68/20,322.48
  6. Step 6: Final answer
    x = 12,939.85

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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.