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Finding the Fourth Proportional to 13,847.96, 20,767.08 and 3,984.59

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Solution

The fourth proportional to 13,847.96, 20,767.08 and 3,984.59 is: 5,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.96 : 20,767.08 = 3,984.59 : x
  2. Step 2: Convert to fraction form
    13,847.96/20,767.08 = 3,984.59/x
  3. Step 3: Cross multiply
    13,847.96x = 20,767.08 × 3,984.59
  4. Step 4: Simplify right side
    13,847.96x = 82,748,366.16
  5. Step 5: Solve for x
    x = 82,748,366.16/13,847.96
  6. Step 6: Final answer
    x = 5,975.49

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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.