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Finding the Fourth Proportional to 20,589.92, 30,884.88 and 5,798.84

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Solution

The fourth proportional to 20,589.92, 30,884.88 and 5,798.84 is: 8,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.92 : 30,884.88 = 5,798.84 : x
  2. Step 2: Convert to fraction form
    20,589.92/30,884.88 = 5,798.84/x
  3. Step 3: Cross multiply
    20,589.92x = 30,884.88 × 5,798.84
  4. Step 4: Simplify right side
    20,589.92x = 179,096,477.54
  5. Step 5: Solve for x
    x = 179,096,477.54/20,589.92
  6. Step 6: Final answer
    x = 8,698.26

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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.