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Finding the Fourth Proportional to 13,768.36, 20,661.02 and 5,446.96

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Solution

The fourth proportional to 13,768.36, 20,661.02 and 5,446.96 is: 8,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.36 : 20,661.02 = 5,446.96 : x
  2. Step 2: Convert to fraction form
    13,768.36/20,661.02 = 5,446.96/x
  3. Step 3: Cross multiply
    13,768.36x = 20,661.02 × 5,446.96
  4. Step 4: Simplify right side
    13,768.36x = 112,539,749.50
  5. Step 5: Solve for x
    x = 112,539,749.50/13,768.36
  6. Step 6: Final answer
    x = 8,173.79

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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.