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Finding the Fourth Proportional to 20,959.20, 31,438.78 and 5,376.83

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Solution

The fourth proportional to 20,959.20, 31,438.78 and 5,376.83 is: 8,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.20 : 31,438.78 = 5,376.83 : x
  2. Step 2: Convert to fraction form
    20,959.20/31,438.78 = 5,376.83/x
  3. Step 3: Cross multiply
    20,959.20x = 31,438.78 × 5,376.83
  4. Step 4: Simplify right side
    20,959.20x = 169,040,804.83
  5. Step 5: Solve for x
    x = 169,040,804.83/20,959.20
  6. Step 6: Final answer
    x = 8,065.23

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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.