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Finding the Fourth Proportional to 13,783.71, 20,682.40 and 5,463.54

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Solution

The fourth proportional to 13,783.71, 20,682.40 and 5,463.54 is: 8,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.71 : 20,682.40 = 5,463.54 : x
  2. Step 2: Convert to fraction form
    13,783.71/20,682.40 = 5,463.54/x
  3. Step 3: Cross multiply
    13,783.71x = 20,682.40 × 5,463.54
  4. Step 4: Simplify right side
    13,783.71x = 112,999,119.70
  5. Step 5: Solve for x
    x = 112,999,119.70/13,783.71
  6. Step 6: Final answer
    x = 8,198.02

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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.