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Finding the Fourth Proportional to 11,825.80, 17,714.40 and 8,132.20

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Solution

The fourth proportional to 11,825.80, 17,714.40 and 8,132.20 is: 12,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.80 : 17,714.40 = 8,132.20 : x
  2. Step 2: Convert to fraction form
    11,825.80/17,714.40 = 8,132.20/x
  3. Step 3: Cross multiply
    11,825.80x = 17,714.40 × 8,132.20
  4. Step 4: Simplify right side
    11,825.80x = 144,057,043.68
  5. Step 5: Solve for x
    x = 144,057,043.68/11,825.80
  6. Step 6: Final answer
    x = 12,181.59

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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.