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Finding the Fourth Proportional to 17,832.50, 24,608.55 and 9,874.55

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Solution

The fourth proportional to 17,832.50, 24,608.55 and 9,874.55 is: 13,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.50 : 24,608.55 = 9,874.55 : x
  2. Step 2: Convert to fraction form
    17,832.50/24,608.55 = 9,874.55/x
  3. Step 3: Cross multiply
    17,832.50x = 24,608.55 × 9,874.55
  4. Step 4: Simplify right side
    17,832.50x = 242,998,308.03
  5. Step 5: Solve for x
    x = 242,998,308.03/17,832.50
  6. Step 6: Final answer
    x = 13,626.71

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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.