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Finding the Fourth Proportional to 13,906.49, 20,861.69 and 4,543.56

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Solution

The fourth proportional to 13,906.49, 20,861.69 and 4,543.56 is: 6,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.49 : 20,861.69 = 4,543.56 : x
  2. Step 2: Convert to fraction form
    13,906.49/20,861.69 = 4,543.56/x
  3. Step 3: Cross multiply
    13,906.49x = 20,861.69 × 4,543.56
  4. Step 4: Simplify right side
    13,906.49x = 94,786,317.50
  5. Step 5: Solve for x
    x = 94,786,317.50/13,906.49
  6. Step 6: Final answer
    x = 6,815.98

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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.