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Finding the Fourth Proportional to 16,091.92, 22,206.81 and 9,804.30

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Solution

The fourth proportional to 16,091.92, 22,206.81 and 9,804.30 is: 13,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.92 : 22,206.81 = 9,804.30 : x
  2. Step 2: Convert to fraction form
    16,091.92/22,206.81 = 9,804.30/x
  3. Step 3: Cross multiply
    16,091.92x = 22,206.81 × 9,804.30
  4. Step 4: Simplify right side
    16,091.92x = 217,722,227.28
  5. Step 5: Solve for x
    x = 217,722,227.28/16,091.92
  6. Step 6: Final answer
    x = 13,529.91

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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.