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Finding the Fourth Proportional to 13,158.82, 18,161.20 and 8,057.34

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Solution

The fourth proportional to 13,158.82, 18,161.20 and 8,057.34 is: 11,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.82 : 18,161.20 = 8,057.34 : x
  2. Step 2: Convert to fraction form
    13,158.82/18,161.20 = 8,057.34/x
  3. Step 3: Cross multiply
    13,158.82x = 18,161.20 × 8,057.34
  4. Step 4: Simplify right side
    13,158.82x = 146,330,963.21
  5. Step 5: Solve for x
    x = 146,330,963.21/13,158.82
  6. Step 6: Final answer
    x = 11,120.37

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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.