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Finding the Fourth Proportional to 17,142.21, 23,657.49 and 9,590.97

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Solution

The fourth proportional to 17,142.21, 23,657.49 and 9,590.97 is: 13,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.21 : 23,657.49 = 9,590.97 : x
  2. Step 2: Convert to fraction form
    17,142.21/23,657.49 = 9,590.97/x
  3. Step 3: Cross multiply
    17,142.21x = 23,657.49 × 9,590.97
  4. Step 4: Simplify right side
    17,142.21x = 226,898,276.87
  5. Step 5: Solve for x
    x = 226,898,276.87/17,142.21
  6. Step 6: Final answer
    x = 13,236.23

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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.