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Finding the Fourth Proportional to 13,361.28, 20,043.84 and 4,128

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Solution

The fourth proportional to 13,361.28, 20,043.84 and 4,128 is: 6,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.28 : 20,043.84 = 4,128 : x
  2. Step 2: Convert to fraction form
    13,361.28/20,043.84 = 4,128/x
  3. Step 3: Cross multiply
    13,361.28x = 20,043.84 × 4,128
  4. Step 4: Simplify right side
    13,361.28x = 82,740,971.52
  5. Step 5: Solve for x
    x = 82,740,971.52/13,361.28
  6. Step 6: Final answer
    x = 6,192.59

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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.