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Finding the Fourth Proportional to 15,682.97, 21,642.46 and 8,609.24

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Solution

The fourth proportional to 15,682.97, 21,642.46 and 8,609.24 is: 11,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.97 : 21,642.46 = 8,609.24 : x
  2. Step 2: Convert to fraction form
    15,682.97/21,642.46 = 8,609.24/x
  3. Step 3: Cross multiply
    15,682.97x = 21,642.46 × 8,609.24
  4. Step 4: Simplify right side
    15,682.97x = 186,325,164.91
  5. Step 5: Solve for x
    x = 186,325,164.91/15,682.97
  6. Step 6: Final answer
    x = 11,880.73

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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.