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Finding the Fourth Proportional to 22,486.71, 33,729.75 and 9,324.48

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Solution

The fourth proportional to 22,486.71, 33,729.75 and 9,324.48 is: 13,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.71 : 33,729.75 = 9,324.48 : x
  2. Step 2: Convert to fraction form
    22,486.71/33,729.75 = 9,324.48/x
  3. Step 3: Cross multiply
    22,486.71x = 33,729.75 × 9,324.48
  4. Step 4: Simplify right side
    22,486.71x = 314,512,379.28
  5. Step 5: Solve for x
    x = 314,512,379.28/22,486.71
  6. Step 6: Final answer
    x = 13,986.59

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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.