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Finding the Fourth Proportional to 16,494.67, 24,744.43 and 5,965.48

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Solution

The fourth proportional to 16,494.67, 24,744.43 and 5,965.48 is: 8,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.67 : 24,744.43 = 5,965.48 : x
  2. Step 2: Convert to fraction form
    16,494.67/24,744.43 = 5,965.48/x
  3. Step 3: Cross multiply
    16,494.67x = 24,744.43 × 5,965.48
  4. Step 4: Simplify right side
    16,494.67x = 147,612,402.28
  5. Step 5: Solve for x
    x = 147,612,402.28/16,494.67
  6. Step 6: Final answer
    x = 8,949.10

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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.