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Finding the Fourth Proportional to 13,457.22, 20,185.02 and 5,022.09

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Solution

The fourth proportional to 13,457.22, 20,185.02 and 5,022.09 is: 7,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.22 : 20,185.02 = 5,022.09 : x
  2. Step 2: Convert to fraction form
    13,457.22/20,185.02 = 5,022.09/x
  3. Step 3: Cross multiply
    13,457.22x = 20,185.02 × 5,022.09
  4. Step 4: Simplify right side
    13,457.22x = 101,370,987.09
  5. Step 5: Solve for x
    x = 101,370,987.09/13,457.22
  6. Step 6: Final answer
    x = 7,532.83

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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.