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Finding the Fourth Proportional to 17,842.15, 24,622.37 and 9,884.49

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Solution

The fourth proportional to 17,842.15, 24,622.37 and 9,884.49 is: 13,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.15 : 24,622.37 = 9,884.49 : x
  2. Step 2: Convert to fraction form
    17,842.15/24,622.37 = 9,884.49/x
  3. Step 3: Cross multiply
    17,842.15x = 24,622.37 × 9,884.49
  4. Step 4: Simplify right side
    17,842.15x = 243,379,570.04
  5. Step 5: Solve for x
    x = 243,379,570.04/17,842.15
  6. Step 6: Final answer
    x = 13,640.71

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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.