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Finding the Fourth Proportional to 17,271.80, 23,834.34 and 9,718

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Solution

The fourth proportional to 17,271.80, 23,834.34 and 9,718 is: 13,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.80 : 23,834.34 = 9,718 : x
  2. Step 2: Convert to fraction form
    17,271.80/23,834.34 = 9,718/x
  3. Step 3: Cross multiply
    17,271.80x = 23,834.34 × 9,718
  4. Step 4: Simplify right side
    17,271.80x = 231,622,116.12
  5. Step 5: Solve for x
    x = 231,622,116.12/17,271.80
  6. Step 6: Final answer
    x = 13,410.42

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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.