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Finding the Fourth Proportional to 14,511.12, 20,025.84 and 8,138

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Solution

The fourth proportional to 14,511.12, 20,025.84 and 8,138 is: 11,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.12 : 20,025.84 = 8,138 : x
  2. Step 2: Convert to fraction form
    14,511.12/20,025.84 = 8,138/x
  3. Step 3: Cross multiply
    14,511.12x = 20,025.84 × 8,138
  4. Step 4: Simplify right side
    14,511.12x = 162,970,285.92
  5. Step 5: Solve for x
    x = 162,970,285.92/14,511.12
  6. Step 6: Final answer
    x = 11,230.72

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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.