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Finding the Fourth Proportional to 15,383.43, 21,229.14 and 8,309.85

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Solution

The fourth proportional to 15,383.43, 21,229.14 and 8,309.85 is: 11,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383.43 : 21,229.14 = 8,309.85 : x
  2. Step 2: Convert to fraction form
    15,383.43/21,229.14 = 8,309.85/x
  3. Step 3: Cross multiply
    15,383.43x = 21,229.14 × 8,309.85
  4. Step 4: Simplify right side
    15,383.43x = 176,410,969.03
  5. Step 5: Solve for x
    x = 176,410,969.03/15,383.43
  6. Step 6: Final answer
    x = 11,467.60

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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.