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Finding the Fourth Proportional to 13,105.89, 18,086.34 and 7,137.55

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Solution

The fourth proportional to 13,105.89, 18,086.34 and 7,137.55 is: 9,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.89 : 18,086.34 = 7,137.55 : x
  2. Step 2: Convert to fraction form
    13,105.89/18,086.34 = 7,137.55/x
  3. Step 3: Cross multiply
    13,105.89x = 18,086.34 × 7,137.55
  4. Step 4: Simplify right side
    13,105.89x = 129,092,120.38
  5. Step 5: Solve for x
    x = 129,092,120.38/13,105.89
  6. Step 6: Final answer
    x = 9,849.93

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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.