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Finding the Fourth Proportional to 13,846.92, 20,761.20 and 6,447.36

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Solution

The fourth proportional to 13,846.92, 20,761.20 and 6,447.36 is: 9,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.92 : 20,761.20 = 6,447.36 : x
  2. Step 2: Convert to fraction form
    13,846.92/20,761.20 = 6,447.36/x
  3. Step 3: Cross multiply
    13,846.92x = 20,761.20 × 6,447.36
  4. Step 4: Simplify right side
    13,846.92x = 133,854,930.43
  5. Step 5: Solve for x
    x = 133,854,930.43/13,846.92
  6. Step 6: Final answer
    x = 9,666.77

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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.