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Finding the Fourth Proportional to 17,846.96, 24,629.94 and 10,294.68

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Solution

The fourth proportional to 17,846.96, 24,629.94 and 10,294.68 is: 14,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.96 : 24,629.94 = 10,294.68 : x
  2. Step 2: Convert to fraction form
    17,846.96/24,629.94 = 10,294.68/x
  3. Step 3: Cross multiply
    17,846.96x = 24,629.94 × 10,294.68
  4. Step 4: Simplify right side
    17,846.96x = 253,557,350.72
  5. Step 5: Solve for x
    x = 253,557,350.72/17,846.96
  6. Step 6: Final answer
    x = 14,207.31

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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.