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Finding the Fourth Proportional to 15,839.34, 21,857.67 and 9,469.49

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Solution

The fourth proportional to 15,839.34, 21,857.67 and 9,469.49 is: 13,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.34 : 21,857.67 = 9,469.49 : x
  2. Step 2: Convert to fraction form
    15,839.34/21,857.67 = 9,469.49/x
  3. Step 3: Cross multiply
    15,839.34x = 21,857.67 × 9,469.49
  4. Step 4: Simplify right side
    15,839.34x = 206,980,878.20
  5. Step 5: Solve for x
    x = 206,980,878.20/15,839.34
  6. Step 6: Final answer
    x = 13,067.52

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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.