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Finding the Fourth Proportional to 17,022.70, 23,494.98 and 9,471.58

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Solution

The fourth proportional to 17,022.70, 23,494.98 and 9,471.58 is: 13,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.70 : 23,494.98 = 9,471.58 : x
  2. Step 2: Convert to fraction form
    17,022.70/23,494.98 = 9,471.58/x
  3. Step 3: Cross multiply
    17,022.70x = 23,494.98 × 9,471.58
  4. Step 4: Simplify right side
    17,022.70x = 222,534,582.67
  5. Step 5: Solve for x
    x = 222,534,582.67/17,022.70
  6. Step 6: Final answer
    x = 13,072.81

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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.