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Finding the Fourth Proportional to 16,321.50, 24,407.49 and 12,164.40

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Solution

The fourth proportional to 16,321.50, 24,407.49 and 12,164.40 is: 18,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.50 : 24,407.49 = 12,164.40 : x
  2. Step 2: Convert to fraction form
    16,321.50/24,407.49 = 12,164.40/x
  3. Step 3: Cross multiply
    16,321.50x = 24,407.49 × 12,164.40
  4. Step 4: Simplify right side
    16,321.50x = 296,902,471.36
  5. Step 5: Solve for x
    x = 296,902,471.36/16,321.50
  6. Step 6: Final answer
    x = 18,190.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.