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Finding the Fourth Proportional to 16,326, 22,530.06 and 8,874

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Solution

The fourth proportional to 16,326, 22,530.06 and 8,874 is: 12,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326 : 22,530.06 = 8,874 : x
  2. Step 2: Convert to fraction form
    16,326/22,530.06 = 8,874/x
  3. Step 3: Cross multiply
    16,326x = 22,530.06 × 8,874
  4. Step 4: Simplify right side
    16,326x = 199,931,752.44
  5. Step 5: Solve for x
    x = 199,931,752.44/16,326
  6. Step 6: Final answer
    x = 12,246.22

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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.