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Finding the Fourth Proportional to 20,576.25, 30,869.24 and 6,725.25

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Solution

The fourth proportional to 20,576.25, 30,869.24 and 6,725.25 is: 10,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.25 : 30,869.24 = 6,725.25 : x
  2. Step 2: Convert to fraction form
    20,576.25/30,869.24 = 6,725.25/x
  3. Step 3: Cross multiply
    20,576.25x = 30,869.24 × 6,725.25
  4. Step 4: Simplify right side
    20,576.25x = 207,603,322.68
  5. Step 5: Solve for x
    x = 207,603,322.68/20,576.25
  6. Step 6: Final answer
    x = 10,089.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.