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Finding the Fourth Proportional to 8,224.14, 12,336.09 and 1,984.10

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Solution

The fourth proportional to 8,224.14, 12,336.09 and 1,984.10 is: 2,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.14 : 12,336.09 = 1,984.10 : x
  2. Step 2: Convert to fraction form
    8,224.14/12,336.09 = 1,984.10/x
  3. Step 3: Cross multiply
    8,224.14x = 12,336.09 × 1,984.10
  4. Step 4: Simplify right side
    8,224.14x = 24,476,009.23
  5. Step 5: Solve for x
    x = 24,476,009.23/8,224.14
  6. Step 6: Final answer
    x = 2,976.12

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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.