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Finding the Fourth Proportional to 13,833.56, 20,753.94 and 3,973.64

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Solution

The fourth proportional to 13,833.56, 20,753.94 and 3,973.64 is: 5,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.56 : 20,753.94 = 3,973.64 : x
  2. Step 2: Convert to fraction form
    13,833.56/20,753.94 = 3,973.64/x
  3. Step 3: Cross multiply
    13,833.56x = 20,753.94 × 3,973.64
  4. Step 4: Simplify right side
    13,833.56x = 82,468,686.14
  5. Step 5: Solve for x
    x = 82,468,686.14/13,833.56
  6. Step 6: Final answer
    x = 5,961.49

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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.