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Finding the Fourth Proportional to 20,238.77, 30,358.16 and 5,447.72

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Solution

The fourth proportional to 20,238.77, 30,358.16 and 5,447.72 is: 8,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.77 : 30,358.16 = 5,447.72 : x
  2. Step 2: Convert to fraction form
    20,238.77/30,358.16 = 5,447.72/x
  3. Step 3: Cross multiply
    20,238.77x = 30,358.16 × 5,447.72
  4. Step 4: Simplify right side
    20,238.77x = 165,382,576.37
  5. Step 5: Solve for x
    x = 165,382,576.37/20,238.77
  6. Step 6: Final answer
    x = 8,171.57

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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.