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Finding the Fourth Proportional to 20,972.72, 31,450.88 and 7,817.92

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Solution

The fourth proportional to 20,972.72, 31,450.88 and 7,817.92 is: 11,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.72 : 31,450.88 = 7,817.92 : x
  2. Step 2: Convert to fraction form
    20,972.72/31,450.88 = 7,817.92/x
  3. Step 3: Cross multiply
    20,972.72x = 31,450.88 × 7,817.92
  4. Step 4: Simplify right side
    20,972.72x = 245,880,404.69
  5. Step 5: Solve for x
    x = 245,880,404.69/20,972.72
  6. Step 6: Final answer
    x = 11,723.82

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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.