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Finding the Fourth Proportional to 16,036.90, 22,131.38 and 8,963.16

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Solution

The fourth proportional to 16,036.90, 22,131.38 and 8,963.16 is: 12,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.90 : 22,131.38 = 8,963.16 : x
  2. Step 2: Convert to fraction form
    16,036.90/22,131.38 = 8,963.16/x
  3. Step 3: Cross multiply
    16,036.90x = 22,131.38 × 8,963.16
  4. Step 4: Simplify right side
    16,036.90x = 198,367,099.96
  5. Step 5: Solve for x
    x = 198,367,099.96/16,036.90
  6. Step 6: Final answer
    x = 12,369.42

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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.