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Finding the Fourth Proportional to 13,861.50, 20,792.25 and 3,473.26

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Solution

The fourth proportional to 13,861.50, 20,792.25 and 3,473.26 is: 5,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.50 : 20,792.25 = 3,473.26 : x
  2. Step 2: Convert to fraction form
    13,861.50/20,792.25 = 3,473.26/x
  3. Step 3: Cross multiply
    13,861.50x = 20,792.25 × 3,473.26
  4. Step 4: Simplify right side
    13,861.50x = 72,216,890.24
  5. Step 5: Solve for x
    x = 72,216,890.24/13,861.50
  6. Step 6: Final answer
    x = 5,209.89

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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.