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Finding the Fourth Proportional to 13,674.74, 20,497.46 and 9,767.30

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Solution

The fourth proportional to 13,674.74, 20,497.46 and 9,767.30 is: 14,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.74 : 20,497.46 = 9,767.30 : x
  2. Step 2: Convert to fraction form
    13,674.74/20,497.46 = 9,767.30/x
  3. Step 3: Cross multiply
    13,674.74x = 20,497.46 × 9,767.30
  4. Step 4: Simplify right side
    13,674.74x = 200,204,841.06
  5. Step 5: Solve for x
    x = 200,204,841.06/13,674.74
  6. Step 6: Final answer
    x = 14,640.49

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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.