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Finding the Fourth Proportional to 16,382.22, 22,606.74 and 9,309.30

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Solution

The fourth proportional to 16,382.22, 22,606.74 and 9,309.30 is: 12,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.22 : 22,606.74 = 9,309.30 : x
  2. Step 2: Convert to fraction form
    16,382.22/22,606.74 = 9,309.30/x
  3. Step 3: Cross multiply
    16,382.22x = 22,606.74 × 9,309.30
  4. Step 4: Simplify right side
    16,382.22x = 210,452,924.68
  5. Step 5: Solve for x
    x = 210,452,924.68/16,382.22
  6. Step 6: Final answer
    x = 12,846.42

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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.