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Finding the Fourth Proportional to 13,238.25, 19,851.54 and 6,220.26

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Solution

The fourth proportional to 13,238.25, 19,851.54 and 6,220.26 is: 9,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.25 : 19,851.54 = 6,220.26 : x
  2. Step 2: Convert to fraction form
    13,238.25/19,851.54 = 6,220.26/x
  3. Step 3: Cross multiply
    13,238.25x = 19,851.54 × 6,220.26
  4. Step 4: Simplify right side
    13,238.25x = 123,481,716.87
  5. Step 5: Solve for x
    x = 123,481,716.87/13,238.25
  6. Step 6: Final answer
    x = 9,327.65

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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.