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Finding the Fourth Proportional to 15,542.82, 21,448.80 and 8,469.09

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Solution

The fourth proportional to 15,542.82, 21,448.80 and 8,469.09 is: 11,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.82 : 21,448.80 = 8,469.09 : x
  2. Step 2: Convert to fraction form
    15,542.82/21,448.80 = 8,469.09/x
  3. Step 3: Cross multiply
    15,542.82x = 21,448.80 × 8,469.09
  4. Step 4: Simplify right side
    15,542.82x = 181,651,817.59
  5. Step 5: Solve for x
    x = 181,651,817.59/15,542.82
  6. Step 6: Final answer
    x = 11,687.19

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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.