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Finding the Fourth Proportional to 13,783.46, 20,682.02 and 5,463.29

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Solution

The fourth proportional to 13,783.46, 20,682.02 and 5,463.29 is: 8,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.46 : 20,682.02 = 5,463.29 : x
  2. Step 2: Convert to fraction form
    13,783.46/20,682.02 = 5,463.29/x
  3. Step 3: Cross multiply
    13,783.46x = 20,682.02 × 5,463.29
  4. Step 4: Simplify right side
    13,783.46x = 112,991,873.05
  5. Step 5: Solve for x
    x = 112,991,873.05/13,783.46
  6. Step 6: Final answer
    x = 8,197.65

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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.