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Finding the Fourth Proportional to 17,537.50, 24,201.74 and 9,579.75

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Solution

The fourth proportional to 17,537.50, 24,201.74 and 9,579.75 is: 13,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.50 : 24,201.74 = 9,579.75 : x
  2. Step 2: Convert to fraction form
    17,537.50/24,201.74 = 9,579.75/x
  3. Step 3: Cross multiply
    17,537.50x = 24,201.74 × 9,579.75
  4. Step 4: Simplify right side
    17,537.50x = 231,846,618.77
  5. Step 5: Solve for x
    x = 231,846,618.77/17,537.50
  6. Step 6: Final answer
    x = 13,220.05

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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.