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Finding the Fourth Proportional to 12,446.58, 18,673.39 and 3,681.46

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Solution

The fourth proportional to 12,446.58, 18,673.39 and 3,681.46 is: 5,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.58 : 18,673.39 = 3,681.46 : x
  2. Step 2: Convert to fraction form
    12,446.58/18,673.39 = 3,681.46/x
  3. Step 3: Cross multiply
    12,446.58x = 18,673.39 × 3,681.46
  4. Step 4: Simplify right side
    12,446.58x = 68,745,338.35
  5. Step 5: Solve for x
    x = 68,745,338.35/12,446.58
  6. Step 6: Final answer
    x = 5,523.23

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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.