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Finding the Fourth Proportional to 13,673.92, 20,511.68 and 4,314.24

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Solution

The fourth proportional to 13,673.92, 20,511.68 and 4,314.24 is: 6,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.92 : 20,511.68 = 4,314.24 : x
  2. Step 2: Convert to fraction form
    13,673.92/20,511.68 = 4,314.24/x
  3. Step 3: Cross multiply
    13,673.92x = 20,511.68 × 4,314.24
  4. Step 4: Simplify right side
    13,673.92x = 88,492,310.32
  5. Step 5: Solve for x
    x = 88,492,310.32/13,673.92
  6. Step 6: Final answer
    x = 6,471.61

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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.