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Finding the Fourth Proportional to 13,457.36, 18,571.59 and 8,419.97

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Solution

The fourth proportional to 13,457.36, 18,571.59 and 8,419.97 is: 11,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.36 : 18,571.59 = 8,419.97 : x
  2. Step 2: Convert to fraction form
    13,457.36/18,571.59 = 8,419.97/x
  3. Step 3: Cross multiply
    13,457.36x = 18,571.59 × 8,419.97
  4. Step 4: Simplify right side
    13,457.36x = 156,372,230.65
  5. Step 5: Solve for x
    x = 156,372,230.65/13,457.36
  6. Step 6: Final answer
    x = 11,619.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.