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Finding the Fourth Proportional to 12,229.74, 18,340.63 and 3,907.80

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Solution

The fourth proportional to 12,229.74, 18,340.63 and 3,907.80 is: 5,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.74 : 18,340.63 = 3,907.80 : x
  2. Step 2: Convert to fraction form
    12,229.74/18,340.63 = 3,907.80/x
  3. Step 3: Cross multiply
    12,229.74x = 18,340.63 × 3,907.80
  4. Step 4: Simplify right side
    12,229.74x = 71,671,513.91
  5. Step 5: Solve for x
    x = 71,671,513.91/12,229.74
  6. Step 6: Final answer
    x = 5,860.43

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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.