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Finding the Fourth Proportional to 17,105.68, 23,604.42 and 9,934.12

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Solution

The fourth proportional to 17,105.68, 23,604.42 and 9,934.12 is: 13,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.68 : 23,604.42 = 9,934.12 : x
  2. Step 2: Convert to fraction form
    17,105.68/23,604.42 = 9,934.12/x
  3. Step 3: Cross multiply
    17,105.68x = 23,604.42 × 9,934.12
  4. Step 4: Simplify right side
    17,105.68x = 234,489,140.81
  5. Step 5: Solve for x
    x = 234,489,140.81/17,105.68
  6. Step 6: Final answer
    x = 13,708.26

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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.