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Finding the Fourth Proportional to 16,449.82, 24,674.50 and 3,969.74

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Solution

The fourth proportional to 16,449.82, 24,674.50 and 3,969.74 is: 5,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.82 : 24,674.50 = 3,969.74 : x
  2. Step 2: Convert to fraction form
    16,449.82/24,674.50 = 3,969.74/x
  3. Step 3: Cross multiply
    16,449.82x = 24,674.50 × 3,969.74
  4. Step 4: Simplify right side
    16,449.82x = 97,951,349.63
  5. Step 5: Solve for x
    x = 97,951,349.63/16,449.82
  6. Step 6: Final answer
    x = 5,954.55

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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.