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Finding the Fourth Proportional to 12,825.97, 17,704.55 and 7,525.24

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Solution

The fourth proportional to 12,825.97, 17,704.55 and 7,525.24 is: 10,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.97 : 17,704.55 = 7,525.24 : x
  2. Step 2: Convert to fraction form
    12,825.97/17,704.55 = 7,525.24/x
  3. Step 3: Cross multiply
    12,825.97x = 17,704.55 × 7,525.24
  4. Step 4: Simplify right side
    12,825.97x = 133,230,987.84
  5. Step 5: Solve for x
    x = 133,230,987.84/12,825.97
  6. Step 6: Final answer
    x = 10,387.60

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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.