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Finding the Fourth Proportional to 13,138.54, 18,131.45 and 7,170.46

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Solution

The fourth proportional to 13,138.54, 18,131.45 and 7,170.46 is: 9,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.54 : 18,131.45 = 7,170.46 : x
  2. Step 2: Convert to fraction form
    13,138.54/18,131.45 = 7,170.46/x
  3. Step 3: Cross multiply
    13,138.54x = 18,131.45 × 7,170.46
  4. Step 4: Simplify right side
    13,138.54x = 130,010,755.79
  5. Step 5: Solve for x
    x = 130,010,755.79/13,138.54
  6. Step 6: Final answer
    x = 9,895.38

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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.