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Finding the Fourth Proportional to 18,507.39, 25,542.99 and 11,796

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Solution

The fourth proportional to 18,507.39, 25,542.99 and 11,796 is: 16,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.39 : 25,542.99 = 11,796 : x
  2. Step 2: Convert to fraction form
    18,507.39/25,542.99 = 11,796/x
  3. Step 3: Cross multiply
    18,507.39x = 25,542.99 × 11,796
  4. Step 4: Simplify right side
    18,507.39x = 301,305,110.04
  5. Step 5: Solve for x
    x = 301,305,110.04/18,507.39
  6. Step 6: Final answer
    x = 16,280.26

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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.