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Finding the Fourth Proportional to 25,704.56, 35,214.70 and 24,745.16

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Solution

The fourth proportional to 25,704.56, 35,214.70 and 24,745.16 is: 33,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.56 : 35,214.70 = 24,745.16 : x
  2. Step 2: Convert to fraction form
    25,704.56/35,214.70 = 24,745.16/x
  3. Step 3: Cross multiply
    25,704.56x = 35,214.70 × 24,745.16
  4. Step 4: Simplify right side
    25,704.56x = 871,393,385.85
  5. Step 5: Solve for x
    x = 871,393,385.85/25,704.56
  6. Step 6: Final answer
    x = 33,900.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.