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Finding the Fourth Proportional to 16,743.31, 23,105.94 and 9,190.14

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Solution

The fourth proportional to 16,743.31, 23,105.94 and 9,190.14 is: 12,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,743.31 : 23,105.94 = 9,190.14 : x
  2. Step 2: Convert to fraction form
    16,743.31/23,105.94 = 9,190.14/x
  3. Step 3: Cross multiply
    16,743.31x = 23,105.94 × 9,190.14
  4. Step 4: Simplify right side
    16,743.31x = 212,346,823.43
  5. Step 5: Solve for x
    x = 212,346,823.43/16,743.31
  6. Step 6: Final answer
    x = 12,682.49

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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.