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Finding the Fourth Proportional to 12,496.37, 18,737.67 and 4,172

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Solution

The fourth proportional to 12,496.37, 18,737.67 and 4,172 is: 6,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.37 : 18,737.67 = 4,172 : x
  2. Step 2: Convert to fraction form
    12,496.37/18,737.67 = 4,172/x
  3. Step 3: Cross multiply
    12,496.37x = 18,737.67 × 4,172
  4. Step 4: Simplify right side
    12,496.37x = 78,173,559.24
  5. Step 5: Solve for x
    x = 78,173,559.24/12,496.37
  6. Step 6: Final answer
    x = 6,255.70

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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.