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Finding the Fourth Proportional to 15,742.43, 21,724.49 and 8,668.84

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Solution

The fourth proportional to 15,742.43, 21,724.49 and 8,668.84 is: 11,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.43 : 21,724.49 = 8,668.84 : x
  2. Step 2: Convert to fraction form
    15,742.43/21,724.49 = 8,668.84/x
  3. Step 3: Cross multiply
    15,742.43x = 21,724.49 × 8,668.84
  4. Step 4: Simplify right side
    15,742.43x = 188,325,975.92
  5. Step 5: Solve for x
    x = 188,325,975.92/15,742.43
  6. Step 6: Final answer
    x = 11,962.96

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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.