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Finding the Fourth Proportional to 20,462.46, 30,694.38 and 5,671.54

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Solution

The fourth proportional to 20,462.46, 30,694.38 and 5,671.54 is: 8,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.46 : 30,694.38 = 5,671.54 : x
  2. Step 2: Convert to fraction form
    20,462.46/30,694.38 = 5,671.54/x
  3. Step 3: Cross multiply
    20,462.46x = 30,694.38 × 5,671.54
  4. Step 4: Simplify right side
    20,462.46x = 174,084,403.95
  5. Step 5: Solve for x
    x = 174,084,403.95/20,462.46
  6. Step 6: Final answer
    x = 8,507.50

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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.