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Finding the Fourth Proportional to 22,338.60, 30,827.04 and 12,267

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Solution

The fourth proportional to 22,338.60, 30,827.04 and 12,267 is: 16,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.60 : 30,827.04 = 12,267 : x
  2. Step 2: Convert to fraction form
    22,338.60/30,827.04 = 12,267/x
  3. Step 3: Cross multiply
    22,338.60x = 30,827.04 × 12,267
  4. Step 4: Simplify right side
    22,338.60x = 378,155,299.68
  5. Step 5: Solve for x
    x = 378,155,299.68/22,338.60
  6. Step 6: Final answer
    x = 16,928.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.