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Finding the Fourth Proportional to 14,944.96, 20,623.74 and 8,230.24

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Solution

The fourth proportional to 14,944.96, 20,623.74 and 8,230.24 is: 11,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.96 : 20,623.74 = 8,230.24 : x
  2. Step 2: Convert to fraction form
    14,944.96/20,623.74 = 8,230.24/x
  3. Step 3: Cross multiply
    14,944.96x = 20,623.74 × 8,230.24
  4. Step 4: Simplify right side
    14,944.96x = 169,738,329.90
  5. Step 5: Solve for x
    x = 169,738,329.90/14,944.96
  6. Step 6: Final answer
    x = 11,357.56

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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.