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Finding the Fourth Proportional to 12,324.25, 17,021.49 and 8,284.06

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Solution

The fourth proportional to 12,324.25, 17,021.49 and 8,284.06 is: 11,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.25 : 17,021.49 = 8,284.06 : x
  2. Step 2: Convert to fraction form
    12,324.25/17,021.49 = 8,284.06/x
  3. Step 3: Cross multiply
    12,324.25x = 17,021.49 × 8,284.06
  4. Step 4: Simplify right side
    12,324.25x = 141,007,087.00
  5. Step 5: Solve for x
    x = 141,007,087.00/12,324.25
  6. Step 6: Final answer
    x = 11,441.44

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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.