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Finding the Fourth Proportional to 13,147.49, 18,144.27 and 7,179.71

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Solution

The fourth proportional to 13,147.49, 18,144.27 and 7,179.71 is: 9,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.49 : 18,144.27 = 7,179.71 : x
  2. Step 2: Convert to fraction form
    13,147.49/18,144.27 = 7,179.71/x
  3. Step 3: Cross multiply
    13,147.49x = 18,144.27 × 7,179.71
  4. Step 4: Simplify right side
    13,147.49x = 130,270,506.04
  5. Step 5: Solve for x
    x = 130,270,506.04/13,147.49
  6. Step 6: Final answer
    x = 9,908.39

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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.