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Finding the Fourth Proportional to 12,265.50, 16,928.60 and 7,229.42

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Solution

The fourth proportional to 12,265.50, 16,928.60 and 7,229.42 is: 9,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.50 : 16,928.60 = 7,229.42 : x
  2. Step 2: Convert to fraction form
    12,265.50/16,928.60 = 7,229.42/x
  3. Step 3: Cross multiply
    12,265.50x = 16,928.60 × 7,229.42
  4. Step 4: Simplify right side
    12,265.50x = 122,383,965.59
  5. Step 5: Solve for x
    x = 122,383,965.59/12,265.50
  6. Step 6: Final answer
    x = 9,977.90

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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.