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Finding the Fourth Proportional to 13,674.16, 20,511.23 and 3,285.91

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Solution

The fourth proportional to 13,674.16, 20,511.23 and 3,285.91 is: 4,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.16 : 20,511.23 = 3,285.91 : x
  2. Step 2: Convert to fraction form
    13,674.16/20,511.23 = 3,285.91/x
  3. Step 3: Cross multiply
    13,674.16x = 20,511.23 × 3,285.91
  4. Step 4: Simplify right side
    13,674.16x = 67,398,006.17
  5. Step 5: Solve for x
    x = 67,398,006.17/13,674.16
  6. Step 6: Final answer
    x = 4,928.86

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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.