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Finding the Fourth Proportional to 11,676.80, 17,515.20 and 11,446.40

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Solution

The fourth proportional to 11,676.80, 17,515.20 and 11,446.40 is: 17,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.80 : 17,515.20 = 11,446.40 : x
  2. Step 2: Convert to fraction form
    11,676.80/17,515.20 = 11,446.40/x
  3. Step 3: Cross multiply
    11,676.80x = 17,515.20 × 11,446.40
  4. Step 4: Simplify right side
    11,676.80x = 200,485,985.28
  5. Step 5: Solve for x
    x = 200,485,985.28/11,676.80
  6. Step 6: Final answer
    x = 17,169.60

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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.