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Finding the Fourth Proportional to 16,206.72, 22,383.90 and 10,819.78

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Solution

The fourth proportional to 16,206.72, 22,383.90 and 10,819.78 is: 14,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.72 : 22,383.90 = 10,819.78 : x
  2. Step 2: Convert to fraction form
    16,206.72/22,383.90 = 10,819.78/x
  3. Step 3: Cross multiply
    16,206.72x = 22,383.90 × 10,819.78
  4. Step 4: Simplify right side
    16,206.72x = 242,188,873.54
  5. Step 5: Solve for x
    x = 242,188,873.54/16,206.72
  6. Step 6: Final answer
    x = 14,943.73

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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.