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Finding the Fourth Proportional to 16,020.66, 22,106.43 and 8,947.38

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Solution

The fourth proportional to 16,020.66, 22,106.43 and 8,947.38 is: 12,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.66 : 22,106.43 = 8,947.38 : x
  2. Step 2: Convert to fraction form
    16,020.66/22,106.43 = 8,947.38/x
  3. Step 3: Cross multiply
    16,020.66x = 22,106.43 × 8,947.38
  4. Step 4: Simplify right side
    16,020.66x = 197,794,629.65
  5. Step 5: Solve for x
    x = 197,794,629.65/16,020.66
  6. Step 6: Final answer
    x = 12,346.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.