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Finding the Fourth Proportional to 13,847.85, 20,769.50 and 4,494.56

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Solution

The fourth proportional to 13,847.85, 20,769.50 and 4,494.56 is: 6,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.85 : 20,769.50 = 4,494.56 : x
  2. Step 2: Convert to fraction form
    13,847.85/20,769.50 = 4,494.56/x
  3. Step 3: Cross multiply
    13,847.85x = 20,769.50 × 4,494.56
  4. Step 4: Simplify right side
    13,847.85x = 93,349,637.60
  5. Step 5: Solve for x
    x = 93,349,637.60/13,847.85
  6. Step 6: Final answer
    x = 6,741.09

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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.