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Finding the Fourth Proportional to 12,394.25, 18,591 and 3,034.30

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Solution

The fourth proportional to 12,394.25, 18,591 and 3,034.30 is: 4,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.25 : 18,591 = 3,034.30 : x
  2. Step 2: Convert to fraction form
    12,394.25/18,591 = 3,034.30/x
  3. Step 3: Cross multiply
    12,394.25x = 18,591 × 3,034.30
  4. Step 4: Simplify right side
    12,394.25x = 56,410,671.30
  5. Step 5: Solve for x
    x = 56,410,671.30/12,394.25
  6. Step 6: Final answer
    x = 4,551.36

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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.