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Finding the Fourth Proportional to 12,447.84, 18,674.72 and 3,563.30

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Solution

The fourth proportional to 12,447.84, 18,674.72 and 3,563.30 is: 5,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.84 : 18,674.72 = 3,563.30 : x
  2. Step 2: Convert to fraction form
    12,447.84/18,674.72 = 3,563.30/x
  3. Step 3: Cross multiply
    12,447.84x = 18,674.72 × 3,563.30
  4. Step 4: Simplify right side
    12,447.84x = 66,543,629.78
  5. Step 5: Solve for x
    x = 66,543,629.78/12,447.84
  6. Step 6: Final answer
    x = 5,345.80

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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.