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Finding the Fourth Proportional to 22,214.25, 33,321.58 and 8,363.25

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Solution

The fourth proportional to 22,214.25, 33,321.58 and 8,363.25 is: 12,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.25 : 33,321.58 = 8,363.25 : x
  2. Step 2: Convert to fraction form
    22,214.25/33,321.58 = 8,363.25/x
  3. Step 3: Cross multiply
    22,214.25x = 33,321.58 × 8,363.25
  4. Step 4: Simplify right side
    22,214.25x = 278,676,683.03
  5. Step 5: Solve for x
    x = 278,676,683.03/22,214.25
  6. Step 6: Final answer
    x = 12,544.95

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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.