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Finding the Fourth Proportional to 21,231.41, 31,847.82 and 9,544.67

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Solution

The fourth proportional to 21,231.41, 31,847.82 and 9,544.67 is: 14,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.41 : 31,847.82 = 9,544.67 : x
  2. Step 2: Convert to fraction form
    21,231.41/31,847.82 = 9,544.67/x
  3. Step 3: Cross multiply
    21,231.41x = 31,847.82 × 9,544.67
  4. Step 4: Simplify right side
    21,231.41x = 303,976,772.88
  5. Step 5: Solve for x
    x = 303,976,772.88/21,231.41
  6. Step 6: Final answer
    x = 14,317.32

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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.