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Finding the Fourth Proportional to 16,533.92, 22,816.16 and 9,819.37

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Solution

The fourth proportional to 16,533.92, 22,816.16 and 9,819.37 is: 13,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.92 : 22,816.16 = 9,819.37 : x
  2. Step 2: Convert to fraction form
    16,533.92/22,816.16 = 9,819.37/x
  3. Step 3: Cross multiply
    16,533.92x = 22,816.16 × 9,819.37
  4. Step 4: Simplify right side
    16,533.92x = 224,040,210.88
  5. Step 5: Solve for x
    x = 224,040,210.88/16,533.92
  6. Step 6: Final answer
    x = 13,550.34

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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.