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Finding the Fourth Proportional to 16,321.48, 24,407.50 and 12,164.38

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Solution

The fourth proportional to 16,321.48, 24,407.50 and 12,164.38 is: 18,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.48 : 24,407.50 = 12,164.38 : x
  2. Step 2: Convert to fraction form
    16,321.48/24,407.50 = 12,164.38/x
  3. Step 3: Cross multiply
    16,321.48x = 24,407.50 × 12,164.38
  4. Step 4: Simplify right side
    16,321.48x = 296,902,104.85
  5. Step 5: Solve for x
    x = 296,902,104.85/16,321.48
  6. Step 6: Final answer
    x = 18,190.88

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