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Finding the Fourth Proportional to 12,200.50, 16,837.44 and 7,423.78

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Solution

The fourth proportional to 12,200.50, 16,837.44 and 7,423.78 is: 10,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.50 : 16,837.44 = 7,423.78 : x
  2. Step 2: Convert to fraction form
    12,200.50/16,837.44 = 7,423.78/x
  3. Step 3: Cross multiply
    12,200.50x = 16,837.44 × 7,423.78
  4. Step 4: Simplify right side
    12,200.50x = 124,997,450.32
  5. Step 5: Solve for x
    x = 124,997,450.32/12,200.50
  6. Step 6: Final answer
    x = 10,245.27

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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.