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Finding the Fourth Proportional to 17,206.56, 25,812 and 5,516.64

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Solution

The fourth proportional to 17,206.56, 25,812 and 5,516.64 is: 8,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.56 : 25,812 = 5,516.64 : x
  2. Step 2: Convert to fraction form
    17,206.56/25,812 = 5,516.64/x
  3. Step 3: Cross multiply
    17,206.56x = 25,812 × 5,516.64
  4. Step 4: Simplify right side
    17,206.56x = 142,395,511.68
  5. Step 5: Solve for x
    x = 142,395,511.68/17,206.56
  6. Step 6: Final answer
    x = 8,275.65

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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.