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Finding the Fourth Proportional to 13,755, 18,982.13 and 7,467.38

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Solution

The fourth proportional to 13,755, 18,982.13 and 7,467.38 is: 10,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755 : 18,982.13 = 7,467.38 : x
  2. Step 2: Convert to fraction form
    13,755/18,982.13 = 7,467.38/x
  3. Step 3: Cross multiply
    13,755x = 18,982.13 × 7,467.38
  4. Step 4: Simplify right side
    13,755x = 141,746,645.67
  5. Step 5: Solve for x
    x = 141,746,645.67/13,755
  6. Step 6: Final answer
    x = 10,305.10

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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.