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Finding the Fourth Proportional to 16,436.50, 22,682.38 and 8,984.50

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Solution

The fourth proportional to 16,436.50, 22,682.38 and 8,984.50 is: 12,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.50 : 22,682.38 = 8,984.50 : x
  2. Step 2: Convert to fraction form
    16,436.50/22,682.38 = 8,984.50/x
  3. Step 3: Cross multiply
    16,436.50x = 22,682.38 × 8,984.50
  4. Step 4: Simplify right side
    16,436.50x = 203,789,843.11
  5. Step 5: Solve for x
    x = 203,789,843.11/16,436.50
  6. Step 6: Final answer
    x = 12,398.62

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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.