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Finding the Fourth Proportional to 11,701.80, 17,514.30 and 8,245.80

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Solution

The fourth proportional to 11,701.80, 17,514.30 and 8,245.80 is: 12,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.80 : 17,514.30 = 8,245.80 : x
  2. Step 2: Convert to fraction form
    11,701.80/17,514.30 = 8,245.80/x
  3. Step 3: Cross multiply
    11,701.80x = 17,514.30 × 8,245.80
  4. Step 4: Simplify right side
    11,701.80x = 144,419,414.94
  5. Step 5: Solve for x
    x = 144,419,414.94/11,701.80
  6. Step 6: Final answer
    x = 12,341.64

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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.