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Finding the Fourth Proportional to 16,561.65, 24,844.94 and 5,469.51

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Solution

The fourth proportional to 16,561.65, 24,844.94 and 5,469.51 is: 8,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.65 : 24,844.94 = 5,469.51 : x
  2. Step 2: Convert to fraction form
    16,561.65/24,844.94 = 5,469.51/x
  3. Step 3: Cross multiply
    16,561.65x = 24,844.94 × 5,469.51
  4. Step 4: Simplify right side
    16,561.65x = 135,889,620.43
  5. Step 5: Solve for x
    x = 135,889,620.43/16,561.65
  6. Step 6: Final answer
    x = 8,205.08

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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.