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Finding the Fourth Proportional to 17,538.18, 24,201.79 and 9,578.87

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Solution

The fourth proportional to 17,538.18, 24,201.79 and 9,578.87 is: 13,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.18 : 24,201.79 = 9,578.87 : x
  2. Step 2: Convert to fraction form
    17,538.18/24,201.79 = 9,578.87/x
  3. Step 3: Cross multiply
    17,538.18x = 24,201.79 × 9,578.87
  4. Step 4: Simplify right side
    17,538.18x = 231,825,745.98
  5. Step 5: Solve for x
    x = 231,825,745.98/17,538.18
  6. Step 6: Final answer
    x = 13,218.35

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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.