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Finding the Fourth Proportional to 29,524.78, 40,743.90 and 16,096

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Solution

The fourth proportional to 29,524.78, 40,743.90 and 16,096 is: 22,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524.78 : 40,743.90 = 16,096 : x
  2. Step 2: Convert to fraction form
    29,524.78/40,743.90 = 16,096/x
  3. Step 3: Cross multiply
    29,524.78x = 40,743.90 × 16,096
  4. Step 4: Simplify right side
    29,524.78x = 655,813,814.40
  5. Step 5: Solve for x
    x = 655,813,814.40/29,524.78
  6. Step 6: Final answer
    x = 22,212.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.