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Finding the Fourth Proportional to 17,850.42, 24,632.91 and 9,892.44

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Solution

The fourth proportional to 17,850.42, 24,632.91 and 9,892.44 is: 13,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.42 : 24,632.91 = 9,892.44 : x
  2. Step 2: Convert to fraction form
    17,850.42/24,632.91 = 9,892.44/x
  3. Step 3: Cross multiply
    17,850.42x = 24,632.91 × 9,892.44
  4. Step 4: Simplify right side
    17,850.42x = 243,679,584.20
  5. Step 5: Solve for x
    x = 243,679,584.20/17,850.42
  6. Step 6: Final answer
    x = 13,651.20

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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.