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Finding the Fourth Proportional to 20,976.72, 31,465.17 and 8,496.98

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Solution

The fourth proportional to 20,976.72, 31,465.17 and 8,496.98 is: 12,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.72 : 31,465.17 = 8,496.98 : x
  2. Step 2: Convert to fraction form
    20,976.72/31,465.17 = 8,496.98/x
  3. Step 3: Cross multiply
    20,976.72x = 31,465.17 × 8,496.98
  4. Step 4: Simplify right side
    20,976.72x = 267,358,998.85
  5. Step 5: Solve for x
    x = 267,358,998.85/20,976.72
  6. Step 6: Final answer
    x = 12,745.51

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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.