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Finding the Fourth Proportional to 13,614.03, 18,791.67 and 7,951.07

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Solution

The fourth proportional to 13,614.03, 18,791.67 and 7,951.07 is: 10,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.03 : 18,791.67 = 7,951.07 : x
  2. Step 2: Convert to fraction form
    13,614.03/18,791.67 = 7,951.07/x
  3. Step 3: Cross multiply
    13,614.03x = 18,791.67 × 7,951.07
  4. Step 4: Simplify right side
    13,614.03x = 149,413,960.38
  5. Step 5: Solve for x
    x = 149,413,960.38/13,614.03
  6. Step 6: Final answer
    x = 10,975.00

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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.