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Finding the Fourth Proportional to 13,854.63, 20,781.81 and 3,466.38

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Solution

The fourth proportional to 13,854.63, 20,781.81 and 3,466.38 is: 5,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.63 : 20,781.81 = 3,466.38 : x
  2. Step 2: Convert to fraction form
    13,854.63/20,781.81 = 3,466.38/x
  3. Step 3: Cross multiply
    13,854.63x = 20,781.81 × 3,466.38
  4. Step 4: Simplify right side
    13,854.63x = 72,037,650.55
  5. Step 5: Solve for x
    x = 72,037,650.55/13,854.63
  6. Step 6: Final answer
    x = 5,199.54

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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.