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Finding the Fourth Proportional to 13,830.81, 20,743.42 and 3,967.44

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Solution

The fourth proportional to 13,830.81, 20,743.42 and 3,967.44 is: 5,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.81 : 20,743.42 = 3,967.44 : x
  2. Step 2: Convert to fraction form
    13,830.81/20,743.42 = 3,967.44/x
  3. Step 3: Cross multiply
    13,830.81x = 20,743.42 × 3,967.44
  4. Step 4: Simplify right side
    13,830.81x = 82,298,274.24
  5. Step 5: Solve for x
    x = 82,298,274.24/13,830.81
  6. Step 6: Final answer
    x = 5,950.36

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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.