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Finding the Fourth Proportional to 12,649.59, 18,974.41 and 3,884.49

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Solution

The fourth proportional to 12,649.59, 18,974.41 and 3,884.49 is: 5,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.59 : 18,974.41 = 3,884.49 : x
  2. Step 2: Convert to fraction form
    12,649.59/18,974.41 = 3,884.49/x
  3. Step 3: Cross multiply
    12,649.59x = 18,974.41 × 3,884.49
  4. Step 4: Simplify right side
    12,649.59x = 73,705,801.32
  5. Step 5: Solve for x
    x = 73,705,801.32/12,649.59
  6. Step 6: Final answer
    x = 5,826.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.