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Finding the Fourth Proportional to 13,143.49, 18,138.44 and 7,175.48

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Solution

The fourth proportional to 13,143.49, 18,138.44 and 7,175.48 is: 9,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.49 : 18,138.44 = 7,175.48 : x
  2. Step 2: Convert to fraction form
    13,143.49/18,138.44 = 7,175.48/x
  3. Step 3: Cross multiply
    13,143.49x = 18,138.44 × 7,175.48
  4. Step 4: Simplify right side
    13,143.49x = 130,151,940.70
  5. Step 5: Solve for x
    x = 130,151,940.70/13,143.49
  6. Step 6: Final answer
    x = 9,902.39

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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.