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Finding the Fourth Proportional to 16,271.37, 24,408.88 and 5,174.17

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Solution

The fourth proportional to 16,271.37, 24,408.88 and 5,174.17 is: 7,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.37 : 24,408.88 = 5,174.17 : x
  2. Step 2: Convert to fraction form
    16,271.37/24,408.88 = 5,174.17/x
  3. Step 3: Cross multiply
    16,271.37x = 24,408.88 × 5,174.17
  4. Step 4: Simplify right side
    16,271.37x = 126,295,694.63
  5. Step 5: Solve for x
    x = 126,295,694.63/16,271.37
  6. Step 6: Final answer
    x = 7,761.84

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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.