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Finding the Fourth Proportional to 16,619, 22,935.84 and 9,167

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Solution

The fourth proportional to 16,619, 22,935.84 and 9,167 is: 12,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,619 : 22,935.84 = 9,167 : x
  2. Step 2: Convert to fraction form
    16,619/22,935.84 = 9,167/x
  3. Step 3: Cross multiply
    16,619x = 22,935.84 × 9,167
  4. Step 4: Simplify right side
    16,619x = 210,252,845.28
  5. Step 5: Solve for x
    x = 210,252,845.28/16,619
  6. Step 6: Final answer
    x = 12,651.35

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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.