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Finding the Fourth Proportional to 17,537.59, 24,200.99 and 9,578.29

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Solution

The fourth proportional to 17,537.59, 24,200.99 and 9,578.29 is: 13,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.59 : 24,200.99 = 9,578.29 : x
  2. Step 2: Convert to fraction form
    17,537.59/24,200.99 = 9,578.29/x
  3. Step 3: Cross multiply
    17,537.59x = 24,200.99 × 9,578.29
  4. Step 4: Simplify right side
    17,537.59x = 231,804,052.62
  5. Step 5: Solve for x
    x = 231,804,052.62/17,537.59
  6. Step 6: Final answer
    x = 13,217.55

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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.