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Finding the Fourth Proportional to 16,819.44, 23,211 and 9,743.28

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Solution

The fourth proportional to 16,819.44, 23,211 and 9,743.28 is: 13,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.44 : 23,211 = 9,743.28 : x
  2. Step 2: Convert to fraction form
    16,819.44/23,211 = 9,743.28/x
  3. Step 3: Cross multiply
    16,819.44x = 23,211 × 9,743.28
  4. Step 4: Simplify right side
    16,819.44x = 226,151,272.08
  5. Step 5: Solve for x
    x = 226,151,272.08/16,819.44
  6. Step 6: Final answer
    x = 13,445.83

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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.