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Finding the Fourth Proportional to 16,405.36, 24,606.81 and 6,546.85

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Solution

The fourth proportional to 16,405.36, 24,606.81 and 6,546.85 is: 9,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.36 : 24,606.81 = 6,546.85 : x
  2. Step 2: Convert to fraction form
    16,405.36/24,606.81 = 6,546.85/x
  3. Step 3: Cross multiply
    16,405.36x = 24,606.81 × 6,546.85
  4. Step 4: Simplify right side
    16,405.36x = 161,097,032.53
  5. Step 5: Solve for x
    x = 161,097,032.53/16,405.36
  6. Step 6: Final answer
    x = 9,819.78

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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.