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Finding the Fourth Proportional to 12,841.56, 19,262.14 and 4,076.37

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Solution

The fourth proportional to 12,841.56, 19,262.14 and 4,076.37 is: 6,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.56 : 19,262.14 = 4,076.37 : x
  2. Step 2: Convert to fraction form
    12,841.56/19,262.14 = 4,076.37/x
  3. Step 3: Cross multiply
    12,841.56x = 19,262.14 × 4,076.37
  4. Step 4: Simplify right side
    12,841.56x = 78,519,599.44
  5. Step 5: Solve for x
    x = 78,519,599.44/12,841.56
  6. Step 6: Final answer
    x = 6,114.49

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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.