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Finding the Fourth Proportional to 13,201.40, 19,801.92 and 3,206.22

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Solution

The fourth proportional to 13,201.40, 19,801.92 and 3,206.22 is: 4,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.40 : 19,801.92 = 3,206.22 : x
  2. Step 2: Convert to fraction form
    13,201.40/19,801.92 = 3,206.22/x
  3. Step 3: Cross multiply
    13,201.40x = 19,801.92 × 3,206.22
  4. Step 4: Simplify right side
    13,201.40x = 63,489,393.08
  5. Step 5: Solve for x
    x = 63,489,393.08/13,201.40
  6. Step 6: Final answer
    x = 4,809.29

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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.