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Finding the Fourth Proportional to 17,537.30, 24,201.10 and 9,579.56

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Solution

The fourth proportional to 17,537.30, 24,201.10 and 9,579.56 is: 13,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.30 : 24,201.10 = 9,579.56 : x
  2. Step 2: Convert to fraction form
    17,537.30/24,201.10 = 9,579.56/x
  3. Step 3: Cross multiply
    17,537.30x = 24,201.10 × 9,579.56
  4. Step 4: Simplify right side
    17,537.30x = 231,835,889.52
  5. Step 5: Solve for x
    x = 231,835,889.52/17,537.30
  6. Step 6: Final answer
    x = 13,219.59

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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.