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Finding the Fourth Proportional to 17,535.49, 24,199.95 and 9,578.44

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Solution

The fourth proportional to 17,535.49, 24,199.95 and 9,578.44 is: 13,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.49 : 24,199.95 = 9,578.44 : x
  2. Step 2: Convert to fraction form
    17,535.49/24,199.95 = 9,578.44/x
  3. Step 3: Cross multiply
    17,535.49x = 24,199.95 × 9,578.44
  4. Step 4: Simplify right side
    17,535.49x = 231,797,769.08
  5. Step 5: Solve for x
    x = 231,797,769.08/17,535.49
  6. Step 6: Final answer
    x = 13,218.78

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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.