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Finding the Fourth Proportional to 17,942.87, 24,760.98 and 9,876.26

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Solution

The fourth proportional to 17,942.87, 24,760.98 and 9,876.26 is: 13,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942.87 : 24,760.98 = 9,876.26 : x
  2. Step 2: Convert to fraction form
    17,942.87/24,760.98 = 9,876.26/x
  3. Step 3: Cross multiply
    17,942.87x = 24,760.98 × 9,876.26
  4. Step 4: Simplify right side
    17,942.87x = 244,545,938.24
  5. Step 5: Solve for x
    x = 244,545,938.24/17,942.87
  6. Step 6: Final answer
    x = 13,629.14

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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.