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Finding the Fourth Proportional to 12,022.90, 16,571.73 and 9,638.26

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Solution

The fourth proportional to 12,022.90, 16,571.73 and 9,638.26 is: 13,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.90 : 16,571.73 = 9,638.26 : x
  2. Step 2: Convert to fraction form
    12,022.90/16,571.73 = 9,638.26/x
  3. Step 3: Cross multiply
    12,022.90x = 16,571.73 × 9,638.26
  4. Step 4: Simplify right side
    12,022.90x = 159,722,642.39
  5. Step 5: Solve for x
    x = 159,722,642.39/12,022.90
  6. Step 6: Final answer
    x = 13,284.87

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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.