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Finding the Fourth Proportional to 16,561.64, 24,844.93 and 5,469.50

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Solution

The fourth proportional to 16,561.64, 24,844.93 and 5,469.50 is: 8,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.64 : 24,844.93 = 5,469.50 : x
  2. Step 2: Convert to fraction form
    16,561.64/24,844.93 = 5,469.50/x
  3. Step 3: Cross multiply
    16,561.64x = 24,844.93 × 5,469.50
  4. Step 4: Simplify right side
    16,561.64x = 135,889,393.07
  5. Step 5: Solve for x
    x = 135,889,393.07/16,561.64
  6. Step 6: Final answer
    x = 8,205.07

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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.