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Finding the Fourth Proportional to 12,419.71, 18,632.18 and 3,653.89

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Solution

The fourth proportional to 12,419.71, 18,632.18 and 3,653.89 is: 5,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.71 : 18,632.18 = 3,653.89 : x
  2. Step 2: Convert to fraction form
    12,419.71/18,632.18 = 3,653.89/x
  3. Step 3: Cross multiply
    12,419.71x = 18,632.18 × 3,653.89
  4. Step 4: Simplify right side
    12,419.71x = 68,079,936.18
  5. Step 5: Solve for x
    x = 68,079,936.18/12,419.71
  6. Step 6: Final answer
    x = 5,481.60

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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.