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Finding the Fourth Proportional to 20,589.89, 30,884.29 and 5,798.75

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Solution

The fourth proportional to 20,589.89, 30,884.29 and 5,798.75 is: 8,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.89 : 30,884.29 = 5,798.75 : x
  2. Step 2: Convert to fraction form
    20,589.89/30,884.29 = 5,798.75/x
  3. Step 3: Cross multiply
    20,589.89x = 30,884.29 × 5,798.75
  4. Step 4: Simplify right side
    20,589.89x = 179,090,107.72
  5. Step 5: Solve for x
    x = 179,090,107.72/20,589.89
  6. Step 6: Final answer
    x = 8,697.97

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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.