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Finding the Fourth Proportional to 14,863.70, 20,511.83 and 8,149.61

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Solution

The fourth proportional to 14,863.70, 20,511.83 and 8,149.61 is: 11,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.70 : 20,511.83 = 8,149.61 : x
  2. Step 2: Convert to fraction form
    14,863.70/20,511.83 = 8,149.61/x
  3. Step 3: Cross multiply
    14,863.70x = 20,511.83 × 8,149.61
  4. Step 4: Simplify right side
    14,863.70x = 167,163,374.14
  5. Step 5: Solve for x
    x = 167,163,374.14/14,863.70
  6. Step 6: Final answer
    x = 11,246.42

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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.