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Finding the Fourth Proportional to 17,170.36, 23,695.68 and 10,097.44

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Solution

The fourth proportional to 17,170.36, 23,695.68 and 10,097.44 is: 13,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.36 : 23,695.68 = 10,097.44 : x
  2. Step 2: Convert to fraction form
    17,170.36/23,695.68 = 10,097.44/x
  3. Step 3: Cross multiply
    17,170.36x = 23,695.68 × 10,097.44
  4. Step 4: Simplify right side
    17,170.36x = 239,265,707.06
  5. Step 5: Solve for x
    x = 239,265,707.06/17,170.36
  6. Step 6: Final answer
    x = 13,934.81

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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.