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Finding the Fourth Proportional to 16,517.79, 22,794.35 and 8,964.14

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Solution

The fourth proportional to 16,517.79, 22,794.35 and 8,964.14 is: 12,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.79 : 22,794.35 = 8,964.14 : x
  2. Step 2: Convert to fraction form
    16,517.79/22,794.35 = 8,964.14/x
  3. Step 3: Cross multiply
    16,517.79x = 22,794.35 × 8,964.14
  4. Step 4: Simplify right side
    16,517.79x = 204,331,585.82
  5. Step 5: Solve for x
    x = 204,331,585.82/16,517.79
  6. Step 6: Final answer
    x = 12,370.39

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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.