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Finding the Fourth Proportional to 13,813.10, 20,722.35 and 5,491.70

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Solution

The fourth proportional to 13,813.10, 20,722.35 and 5,491.70 is: 8,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.10 : 20,722.35 = 5,491.70 : x
  2. Step 2: Convert to fraction form
    13,813.10/20,722.35 = 5,491.70/x
  3. Step 3: Cross multiply
    13,813.10x = 20,722.35 × 5,491.70
  4. Step 4: Simplify right side
    13,813.10x = 113,800,929.50
  5. Step 5: Solve for x
    x = 113,800,929.50/13,813.10
  6. Step 6: Final answer
    x = 8,238.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.