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Finding the Fourth Proportional to 20,940.76, 31,417.01 and 8,469.54

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Solution

The fourth proportional to 20,940.76, 31,417.01 and 8,469.54 is: 12,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.76 : 31,417.01 = 8,469.54 : x
  2. Step 2: Convert to fraction form
    20,940.76/31,417.01 = 8,469.54/x
  3. Step 3: Cross multiply
    20,940.76x = 31,417.01 × 8,469.54
  4. Step 4: Simplify right side
    20,940.76x = 266,087,622.88
  5. Step 5: Solve for x
    x = 266,087,622.88/20,940.76
  6. Step 6: Final answer
    x = 12,706.68

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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.