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Finding the Fourth Proportional to 30,243.28, 41,735.72 and 16,814.16

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Solution

The fourth proportional to 30,243.28, 41,735.72 and 16,814.16 is: 23,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243.28 : 41,735.72 = 16,814.16 : x
  2. Step 2: Convert to fraction form
    30,243.28/41,735.72 = 16,814.16/x
  3. Step 3: Cross multiply
    30,243.28x = 41,735.72 × 16,814.16
  4. Step 4: Simplify right side
    30,243.28x = 701,751,073.80
  5. Step 5: Solve for x
    x = 701,751,073.80/30,243.28
  6. Step 6: Final answer
    x = 23,203.54

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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.