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Finding the Fourth Proportional to 16,576.97, 24,847.20 and 7,206.08

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Solution

The fourth proportional to 16,576.97, 24,847.20 and 7,206.08 is: 10,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.97 : 24,847.20 = 7,206.08 : x
  2. Step 2: Convert to fraction form
    16,576.97/24,847.20 = 7,206.08/x
  3. Step 3: Cross multiply
    16,576.97x = 24,847.20 × 7,206.08
  4. Step 4: Simplify right side
    16,576.97x = 179,050,786.74
  5. Step 5: Solve for x
    x = 179,050,786.74/16,576.97
  6. Step 6: Final answer
    x = 10,801.18

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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.