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Finding the Fourth Proportional to 12,427.68, 18,635.10 and 3,661.48

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Solution

The fourth proportional to 12,427.68, 18,635.10 and 3,661.48 is: 5,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.68 : 18,635.10 = 3,661.48 : x
  2. Step 2: Convert to fraction form
    12,427.68/18,635.10 = 3,661.48/x
  3. Step 3: Cross multiply
    12,427.68x = 18,635.10 × 3,661.48
  4. Step 4: Simplify right side
    12,427.68x = 68,232,045.95
  5. Step 5: Solve for x
    x = 68,232,045.95/12,427.68
  6. Step 6: Final answer
    x = 5,490.33

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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.