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Finding the Fourth Proportional to 16,745.28, 23,109.21 and 10,032

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Solution

The fourth proportional to 16,745.28, 23,109.21 and 10,032 is: 13,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.28 : 23,109.21 = 10,032 : x
  2. Step 2: Convert to fraction form
    16,745.28/23,109.21 = 10,032/x
  3. Step 3: Cross multiply
    16,745.28x = 23,109.21 × 10,032
  4. Step 4: Simplify right side
    16,745.28x = 231,831,594.72
  5. Step 5: Solve for x
    x = 231,831,594.72/16,745.28
  6. Step 6: Final answer
    x = 13,844.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.