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Finding the Fourth Proportional to 17,537.18, 24,201.44 and 9,579.60

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Solution

The fourth proportional to 17,537.18, 24,201.44 and 9,579.60 is: 13,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.18 : 24,201.44 = 9,579.60 : x
  2. Step 2: Convert to fraction form
    17,537.18/24,201.44 = 9,579.60/x
  3. Step 3: Cross multiply
    17,537.18x = 24,201.44 × 9,579.60
  4. Step 4: Simplify right side
    17,537.18x = 231,840,114.62
  5. Step 5: Solve for x
    x = 231,840,114.62/17,537.18
  6. Step 6: Final answer
    x = 13,219.92

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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.