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Finding the Fourth Proportional to 20,382.54, 30,559.32 and 7,892.02

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Solution

The fourth proportional to 20,382.54, 30,559.32 and 7,892.02 is: 11,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.54 : 30,559.32 = 7,892.02 : x
  2. Step 2: Convert to fraction form
    20,382.54/30,559.32 = 7,892.02/x
  3. Step 3: Cross multiply
    20,382.54x = 30,559.32 × 7,892.02
  4. Step 4: Simplify right side
    20,382.54x = 241,174,764.63
  5. Step 5: Solve for x
    x = 241,174,764.63/20,382.54
  6. Step 6: Final answer
    x = 11,832.42

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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.