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Finding the Fourth Proportional to 15,892.82, 21,933.12 and 8,819.24

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Solution

The fourth proportional to 15,892.82, 21,933.12 and 8,819.24 is: 12,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.82 : 21,933.12 = 8,819.24 : x
  2. Step 2: Convert to fraction form
    15,892.82/21,933.12 = 8,819.24/x
  3. Step 3: Cross multiply
    15,892.82x = 21,933.12 × 8,819.24
  4. Step 4: Simplify right side
    15,892.82x = 193,433,449.23
  5. Step 5: Solve for x
    x = 193,433,449.23/15,892.82
  6. Step 6: Final answer
    x = 12,171.12

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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.