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Finding the Fourth Proportional to 16,743.12, 25,114.68 and 7,984.14

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Solution

The fourth proportional to 16,743.12, 25,114.68 and 7,984.14 is: 11,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,743.12 : 25,114.68 = 7,984.14 : x
  2. Step 2: Convert to fraction form
    16,743.12/25,114.68 = 7,984.14/x
  3. Step 3: Cross multiply
    16,743.12x = 25,114.68 × 7,984.14
  4. Step 4: Simplify right side
    16,743.12x = 200,519,121.18
  5. Step 5: Solve for x
    x = 200,519,121.18/16,743.12
  6. Step 6: Final answer
    x = 11,976.21

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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.