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Finding the Fourth Proportional to 14,471.68, 19,968.78 and 8,183.92

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Solution

The fourth proportional to 14,471.68, 19,968.78 and 8,183.92 is: 11,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.68 : 19,968.78 = 8,183.92 : x
  2. Step 2: Convert to fraction form
    14,471.68/19,968.78 = 8,183.92/x
  3. Step 3: Cross multiply
    14,471.68x = 19,968.78 × 8,183.92
  4. Step 4: Simplify right side
    14,471.68x = 163,422,898.02
  5. Step 5: Solve for x
    x = 163,422,898.02/14,471.68
  6. Step 6: Final answer
    x = 11,292.60

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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.