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Finding the Fourth Proportional to 15,121.82, 22,634.19 and 8,084.23

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Solution

The fourth proportional to 15,121.82, 22,634.19 and 8,084.23 is: 12,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.82 : 22,634.19 = 8,084.23 : x
  2. Step 2: Convert to fraction form
    15,121.82/22,634.19 = 8,084.23/x
  3. Step 3: Cross multiply
    15,121.82x = 22,634.19 × 8,084.23
  4. Step 4: Simplify right side
    15,121.82x = 182,979,997.82
  5. Step 5: Solve for x
    x = 182,979,997.82/15,121.82
  6. Step 6: Final answer
    x = 12,100.40

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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.