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Finding the Fourth Proportional to 12,825.21, 17,698.63 and 9,044.44

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Solution

The fourth proportional to 12,825.21, 17,698.63 and 9,044.44 is: 12,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.21 : 17,698.63 = 9,044.44 : x
  2. Step 2: Convert to fraction form
    12,825.21/17,698.63 = 9,044.44/x
  3. Step 3: Cross multiply
    12,825.21x = 17,698.63 × 9,044.44
  4. Step 4: Simplify right side
    12,825.21x = 160,074,197.12
  5. Step 5: Solve for x
    x = 160,074,197.12/12,825.21
  6. Step 6: Final answer
    x = 12,481.21

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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.