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Finding the Fourth Proportional to 16,745.24, 25,111.42 and 5,648.96

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Solution

The fourth proportional to 16,745.24, 25,111.42 and 5,648.96 is: 8,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.24 : 25,111.42 = 5,648.96 : x
  2. Step 2: Convert to fraction form
    16,745.24/25,111.42 = 5,648.96/x
  3. Step 3: Cross multiply
    16,745.24x = 25,111.42 × 5,648.96
  4. Step 4: Simplify right side
    16,745.24x = 141,853,407.12
  5. Step 5: Solve for x
    x = 141,853,407.12/16,745.24
  6. Step 6: Final answer
    x = 8,471.27

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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.