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Finding the Fourth Proportional to 8,182.14, 12,273.26 and 2,026.14

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Solution

The fourth proportional to 8,182.14, 12,273.26 and 2,026.14 is: 3,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.14 : 12,273.26 = 2,026.14 : x
  2. Step 2: Convert to fraction form
    8,182.14/12,273.26 = 2,026.14/x
  3. Step 3: Cross multiply
    8,182.14x = 12,273.26 × 2,026.14
  4. Step 4: Simplify right side
    8,182.14x = 24,867,343.02
  5. Step 5: Solve for x
    x = 24,867,343.02/8,182.14
  6. Step 6: Final answer
    x = 3,039.22

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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.