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Finding the Fourth Proportional to 11,825.52, 17,729.64 and 4,425.36

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Solution

The fourth proportional to 11,825.52, 17,729.64 and 4,425.36 is: 6,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.52 : 17,729.64 = 4,425.36 : x
  2. Step 2: Convert to fraction form
    11,825.52/17,729.64 = 4,425.36/x
  3. Step 3: Cross multiply
    11,825.52x = 17,729.64 × 4,425.36
  4. Step 4: Simplify right side
    11,825.52x = 78,460,039.67
  5. Step 5: Solve for x
    x = 78,460,039.67/11,825.52
  6. Step 6: Final answer
    x = 6,634.81

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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.