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Finding the Fourth Proportional to 20,615.94, 30,919.32 and 5,826.24

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Solution

The fourth proportional to 20,615.94, 30,919.32 and 5,826.24 is: 8,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.94 : 30,919.32 = 5,826.24 : x
  2. Step 2: Convert to fraction form
    20,615.94/30,919.32 = 5,826.24/x
  3. Step 3: Cross multiply
    20,615.94x = 30,919.32 × 5,826.24
  4. Step 4: Simplify right side
    20,615.94x = 180,143,378.96
  5. Step 5: Solve for x
    x = 180,143,378.96/20,615.94
  6. Step 6: Final answer
    x = 8,738.06

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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.