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Finding the Fourth Proportional to 13,146.43, 18,131.79 and 8,431.15

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Solution

The fourth proportional to 13,146.43, 18,131.79 and 8,431.15 is: 11,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.43 : 18,131.79 = 8,431.15 : x
  2. Step 2: Convert to fraction form
    13,146.43/18,131.79 = 8,431.15/x
  3. Step 3: Cross multiply
    13,146.43x = 18,131.79 × 8,431.15
  4. Step 4: Simplify right side
    13,146.43x = 152,871,841.26
  5. Step 5: Solve for x
    x = 152,871,841.26/13,146.43
  6. Step 6: Final answer
    x = 11,628.39

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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.