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Finding the Fourth Proportional to 11,000.20, 16,478.70 and 10,222.60

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Solution

The fourth proportional to 11,000.20, 16,478.70 and 10,222.60 is: 15,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.20 : 16,478.70 = 10,222.60 : x
  2. Step 2: Convert to fraction form
    11,000.20/16,478.70 = 10,222.60/x
  3. Step 3: Cross multiply
    11,000.20x = 16,478.70 × 10,222.60
  4. Step 4: Simplify right side
    11,000.20x = 168,455,158.62
  5. Step 5: Solve for x
    x = 168,455,158.62/11,000.20
  6. Step 6: Final answer
    x = 15,313.83

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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.