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Finding the Fourth Proportional to 17,314.11, 23,893.11 and 9,760.44

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Solution

The fourth proportional to 17,314.11, 23,893.11 and 9,760.44 is: 13,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.11 : 23,893.11 = 9,760.44 : x
  2. Step 2: Convert to fraction form
    17,314.11/23,893.11 = 9,760.44/x
  3. Step 3: Cross multiply
    17,314.11x = 23,893.11 × 9,760.44
  4. Step 4: Simplify right side
    17,314.11x = 233,207,266.57
  5. Step 5: Solve for x
    x = 233,207,266.57/17,314.11
  6. Step 6: Final answer
    x = 13,469.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.