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Finding the Fourth Proportional to 24,512.80, 33,817.92 and 16,012.16

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Solution

The fourth proportional to 24,512.80, 33,817.92 and 16,012.16 is: 22,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.80 : 33,817.92 = 16,012.16 : x
  2. Step 2: Convert to fraction form
    24,512.80/33,817.92 = 16,012.16/x
  3. Step 3: Cross multiply
    24,512.80x = 33,817.92 × 16,012.16
  4. Step 4: Simplify right side
    24,512.80x = 541,497,945.91
  5. Step 5: Solve for x
    x = 541,497,945.91/24,512.80
  6. Step 6: Final answer
    x = 22,090.42

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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.