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Finding the Fourth Proportional to 14,821.92, 20,453.37 and 8,447.64

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Solution

The fourth proportional to 14,821.92, 20,453.37 and 8,447.64 is: 11,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.92 : 20,453.37 = 8,447.64 : x
  2. Step 2: Convert to fraction form
    14,821.92/20,453.37 = 8,447.64/x
  3. Step 3: Cross multiply
    14,821.92x = 20,453.37 × 8,447.64
  4. Step 4: Simplify right side
    14,821.92x = 172,782,706.55
  5. Step 5: Solve for x
    x = 172,782,706.55/14,821.92
  6. Step 6: Final answer
    x = 11,657.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.