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Finding the Fourth Proportional to 17,537.08, 24,201.50 and 9,579.64

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Solution

The fourth proportional to 17,537.08, 24,201.50 and 9,579.64 is: 13,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.08 : 24,201.50 = 9,579.64 : x
  2. Step 2: Convert to fraction form
    17,537.08/24,201.50 = 9,579.64/x
  3. Step 3: Cross multiply
    17,537.08x = 24,201.50 × 9,579.64
  4. Step 4: Simplify right side
    17,537.08x = 231,841,657.46
  5. Step 5: Solve for x
    x = 231,841,657.46/17,537.08
  6. Step 6: Final answer
    x = 13,220.08

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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.