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Finding the Fourth Proportional to 13,606.83, 20,416.50 and 6,213.54

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Solution

The fourth proportional to 13,606.83, 20,416.50 and 6,213.54 is: 9,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.83 : 20,416.50 = 6,213.54 : x
  2. Step 2: Convert to fraction form
    13,606.83/20,416.50 = 6,213.54/x
  3. Step 3: Cross multiply
    13,606.83x = 20,416.50 × 6,213.54
  4. Step 4: Simplify right side
    13,606.83x = 126,858,739.41
  5. Step 5: Solve for x
    x = 126,858,739.41/13,606.83
  6. Step 6: Final answer
    x = 9,323.17

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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.