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Finding the Fourth Proportional to 17,536.56, 24,201.23 and 9,578.85

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Solution

The fourth proportional to 17,536.56, 24,201.23 and 9,578.85 is: 13,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.56 : 24,201.23 = 9,578.85 : x
  2. Step 2: Convert to fraction form
    17,536.56/24,201.23 = 9,578.85/x
  3. Step 3: Cross multiply
    17,536.56x = 24,201.23 × 9,578.85
  4. Step 4: Simplify right side
    17,536.56x = 231,819,951.99
  5. Step 5: Solve for x
    x = 231,819,951.99/17,536.56
  6. Step 6: Final answer
    x = 13,219.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.