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Finding the Fourth Proportional to 17,630.67, 24,314.38 and 11,668.26

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Solution

The fourth proportional to 17,630.67, 24,314.38 and 11,668.26 is: 16,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.67 : 24,314.38 = 11,668.26 : x
  2. Step 2: Convert to fraction form
    17,630.67/24,314.38 = 11,668.26/x
  3. Step 3: Cross multiply
    17,630.67x = 24,314.38 × 11,668.26
  4. Step 4: Simplify right side
    17,630.67x = 283,706,507.58
  5. Step 5: Solve for x
    x = 283,706,507.58/17,630.67
  6. Step 6: Final answer
    x = 16,091.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.