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Finding the Fourth Proportional to 17,494.82, 24,142.38 and 9,537.05

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Solution

The fourth proportional to 17,494.82, 24,142.38 and 9,537.05 is: 13,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.82 : 24,142.38 = 9,537.05 : x
  2. Step 2: Convert to fraction form
    17,494.82/24,142.38 = 9,537.05/x
  3. Step 3: Cross multiply
    17,494.82x = 24,142.38 × 9,537.05
  4. Step 4: Simplify right side
    17,494.82x = 230,246,973.97
  5. Step 5: Solve for x
    x = 230,246,973.97/17,494.82
  6. Step 6: Final answer
    x = 13,160.86

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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.