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Finding the Fourth Proportional to 20,872.55, 31,321.11 and 7,734.08

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Solution

The fourth proportional to 20,872.55, 31,321.11 and 7,734.08 is: 11,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.55 : 31,321.11 = 7,734.08 : x
  2. Step 2: Convert to fraction form
    20,872.55/31,321.11 = 7,734.08/x
  3. Step 3: Cross multiply
    20,872.55x = 31,321.11 × 7,734.08
  4. Step 4: Simplify right side
    20,872.55x = 242,239,813.82
  5. Step 5: Solve for x
    x = 242,239,813.82/20,872.55
  6. Step 6: Final answer
    x = 11,605.67

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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.