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Finding the Fourth Proportional to 20,628.52, 30,947.82 and 6,588.54

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Solution

The fourth proportional to 20,628.52, 30,947.82 and 6,588.54 is: 9,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628.52 : 30,947.82 = 6,588.54 : x
  2. Step 2: Convert to fraction form
    20,628.52/30,947.82 = 6,588.54/x
  3. Step 3: Cross multiply
    20,628.52x = 30,947.82 × 6,588.54
  4. Step 4: Simplify right side
    20,628.52x = 203,900,962.34
  5. Step 5: Solve for x
    x = 203,900,962.34/20,628.52
  6. Step 6: Final answer
    x = 9,884.42

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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.