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Finding the Fourth Proportional to 12,204.50, 16,841.26 and 7,423.80

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Solution

The fourth proportional to 12,204.50, 16,841.26 and 7,423.80 is: 10,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.50 : 16,841.26 = 7,423.80 : x
  2. Step 2: Convert to fraction form
    12,204.50/16,841.26 = 7,423.80/x
  3. Step 3: Cross multiply
    12,204.50x = 16,841.26 × 7,423.80
  4. Step 4: Simplify right side
    12,204.50x = 125,026,145.99
  5. Step 5: Solve for x
    x = 125,026,145.99/12,204.50
  6. Step 6: Final answer
    x = 10,244.27

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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.