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Finding the Fourth Proportional to 14,863.83, 20,511.53 and 8,149.30

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Solution

The fourth proportional to 14,863.83, 20,511.53 and 8,149.30 is: 11,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.83 : 20,511.53 = 8,149.30 : x
  2. Step 2: Convert to fraction form
    14,863.83/20,511.53 = 8,149.30/x
  3. Step 3: Cross multiply
    14,863.83x = 20,511.53 × 8,149.30
  4. Step 4: Simplify right side
    14,863.83x = 167,154,611.43
  5. Step 5: Solve for x
    x = 167,154,611.43/14,863.83
  6. Step 6: Final answer
    x = 11,245.73

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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.