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Finding the Fourth Proportional to 21,162.76, 31,745.44 and 7,121.62

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Solution

The fourth proportional to 21,162.76, 31,745.44 and 7,121.62 is: 10,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.76 : 31,745.44 = 7,121.62 : x
  2. Step 2: Convert to fraction form
    21,162.76/31,745.44 = 7,121.62/x
  3. Step 3: Cross multiply
    21,162.76x = 31,745.44 × 7,121.62
  4. Step 4: Simplify right side
    21,162.76x = 226,078,960.41
  5. Step 5: Solve for x
    x = 226,078,960.41/21,162.76
  6. Step 6: Final answer
    x = 10,682.87

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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.