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Finding the Fourth Proportional to 22,914.36, 34,371.54 and 8,119.74

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Solution

The fourth proportional to 22,914.36, 34,371.54 and 8,119.74 is: 12,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.36 : 34,371.54 = 8,119.74 : x
  2. Step 2: Convert to fraction form
    22,914.36/34,371.54 = 8,119.74/x
  3. Step 3: Cross multiply
    22,914.36x = 34,371.54 × 8,119.74
  4. Step 4: Simplify right side
    22,914.36x = 279,087,968.20
  5. Step 5: Solve for x
    x = 279,087,968.20/22,914.36
  6. Step 6: Final answer
    x = 12,179.61

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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.