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Finding the Fourth Proportional to 11,000.20, 16,452.30 and 9,838.60

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Solution

The fourth proportional to 11,000.20, 16,452.30 and 9,838.60 is: 14,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.20 : 16,452.30 = 9,838.60 : x
  2. Step 2: Convert to fraction form
    11,000.20/16,452.30 = 9,838.60/x
  3. Step 3: Cross multiply
    11,000.20x = 16,452.30 × 9,838.60
  4. Step 4: Simplify right side
    11,000.20x = 161,867,598.78
  5. Step 5: Solve for x
    x = 161,867,598.78/11,000.20
  6. Step 6: Final answer
    x = 14,714.97

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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.