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Finding the Fourth Proportional to 17,537.57, 24,202.37 and 9,579.93

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Solution

The fourth proportional to 17,537.57, 24,202.37 and 9,579.93 is: 13,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.57 : 24,202.37 = 9,579.93 : x
  2. Step 2: Convert to fraction form
    17,537.57/24,202.37 = 9,579.93/x
  3. Step 3: Cross multiply
    17,537.57x = 24,202.37 × 9,579.93
  4. Step 4: Simplify right side
    17,537.57x = 231,857,034.38
  5. Step 5: Solve for x
    x = 231,857,034.38/17,537.57
  6. Step 6: Final answer
    x = 13,220.59

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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.