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Finding the Fourth Proportional to 13,823.36, 20,737.20 and 7,976.96

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Solution

The fourth proportional to 13,823.36, 20,737.20 and 7,976.96 is: 11,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.36 : 20,737.20 = 7,976.96 : x
  2. Step 2: Convert to fraction form
    13,823.36/20,737.20 = 7,976.96/x
  3. Step 3: Cross multiply
    13,823.36x = 20,737.20 × 7,976.96
  4. Step 4: Simplify right side
    13,823.36x = 165,419,814.91
  5. Step 5: Solve for x
    x = 165,419,814.91/13,823.36
  6. Step 6: Final answer
    x = 11,966.69

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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.