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Finding the Fourth Proportional to 17,637.54, 24,338.97 and 9,679.59

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Solution

The fourth proportional to 17,637.54, 24,338.97 and 9,679.59 is: 13,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.54 : 24,338.97 = 9,679.59 : x
  2. Step 2: Convert to fraction form
    17,637.54/24,338.97 = 9,679.59/x
  3. Step 3: Cross multiply
    17,637.54x = 24,338.97 × 9,679.59
  4. Step 4: Simplify right side
    17,637.54x = 235,591,250.62
  5. Step 5: Solve for x
    x = 235,591,250.62/17,637.54
  6. Step 6: Final answer
    x = 13,357.38

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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.