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Finding the Fourth Proportional to 14,942.16, 20,619.72 and 8,227.68

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Solution

The fourth proportional to 14,942.16, 20,619.72 and 8,227.68 is: 11,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.16 : 20,619.72 = 8,227.68 : x
  2. Step 2: Convert to fraction form
    14,942.16/20,619.72 = 8,227.68/x
  3. Step 3: Cross multiply
    14,942.16x = 20,619.72 × 8,227.68
  4. Step 4: Simplify right side
    14,942.16x = 169,652,457.85
  5. Step 5: Solve for x
    x = 169,652,457.85/14,942.16
  6. Step 6: Final answer
    x = 11,353.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.