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Finding the Fourth Proportional to 17,689.16, 26,512.37 and 7,817.24

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Solution

The fourth proportional to 17,689.16, 26,512.37 and 7,817.24 is: 11,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.16 : 26,512.37 = 7,817.24 : x
  2. Step 2: Convert to fraction form
    17,689.16/26,512.37 = 7,817.24/x
  3. Step 3: Cross multiply
    17,689.16x = 26,512.37 × 7,817.24
  4. Step 4: Simplify right side
    17,689.16x = 207,253,446.24
  5. Step 5: Solve for x
    x = 207,253,446.24/17,689.16
  6. Step 6: Final answer
    x = 11,716.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.