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Finding the Fourth Proportional to 13,657.64, 18,791.19 and 10,668.29

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Solution

The fourth proportional to 13,657.64, 18,791.19 and 10,668.29 is: 14,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.64 : 18,791.19 = 10,668.29 : x
  2. Step 2: Convert to fraction form
    13,657.64/18,791.19 = 10,668.29/x
  3. Step 3: Cross multiply
    13,657.64x = 18,791.19 × 10,668.29
  4. Step 4: Simplify right side
    13,657.64x = 200,469,911.34
  5. Step 5: Solve for x
    x = 200,469,911.34/13,657.64
  6. Step 6: Final answer
    x = 14,678.22

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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.