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Finding the Fourth Proportional to 17,538.12, 24,202.22 and 9,580.38

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Solution

The fourth proportional to 17,538.12, 24,202.22 and 9,580.38 is: 13,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.12 : 24,202.22 = 9,580.38 : x
  2. Step 2: Convert to fraction form
    17,538.12/24,202.22 = 9,580.38/x
  3. Step 3: Cross multiply
    17,538.12x = 24,202.22 × 9,580.38
  4. Step 4: Simplify right side
    17,538.12x = 231,866,416.54
  5. Step 5: Solve for x
    x = 231,866,416.54/17,538.12
  6. Step 6: Final answer
    x = 13,220.71

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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.