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Finding the Fourth Proportional to 12,757.41, 19,137.20 and 3,523.41

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Solution

The fourth proportional to 12,757.41, 19,137.20 and 3,523.41 is: 5,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.41 : 19,137.20 = 3,523.41 : x
  2. Step 2: Convert to fraction form
    12,757.41/19,137.20 = 3,523.41/x
  3. Step 3: Cross multiply
    12,757.41x = 19,137.20 × 3,523.41
  4. Step 4: Simplify right side
    12,757.41x = 67,428,184.23
  5. Step 5: Solve for x
    x = 67,428,184.23/12,757.41
  6. Step 6: Final answer
    x = 5,285.41

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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.