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Finding the Fourth Proportional to 17,086.68, 23,579.34 and 9,634.68

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Solution

The fourth proportional to 17,086.68, 23,579.34 and 9,634.68 is: 13,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.68 : 23,579.34 = 9,634.68 : x
  2. Step 2: Convert to fraction form
    17,086.68/23,579.34 = 9,634.68/x
  3. Step 3: Cross multiply
    17,086.68x = 23,579.34 × 9,634.68
  4. Step 4: Simplify right side
    17,086.68x = 227,179,395.51
  5. Step 5: Solve for x
    x = 227,179,395.51/17,086.68
  6. Step 6: Final answer
    x = 13,295.70

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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.