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Finding the Fourth Proportional to 21,027.27, 31,544.24 and 7,880.67

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Solution

The fourth proportional to 21,027.27, 31,544.24 and 7,880.67 is: 11,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027.27 : 31,544.24 = 7,880.67 : x
  2. Step 2: Convert to fraction form
    21,027.27/31,544.24 = 7,880.67/x
  3. Step 3: Cross multiply
    21,027.27x = 31,544.24 × 7,880.67
  4. Step 4: Simplify right side
    21,027.27x = 248,589,706.44
  5. Step 5: Solve for x
    x = 248,589,706.44/21,027.27
  6. Step 6: Final answer
    x = 11,822.25

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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.