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Finding the Fourth Proportional to 29,524.68, 40,744.31 and 16,096.28

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Solution

The fourth proportional to 29,524.68, 40,744.31 and 16,096.28 is: 22,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524.68 : 40,744.31 = 16,096.28 : x
  2. Step 2: Convert to fraction form
    29,524.68/40,744.31 = 16,096.28/x
  3. Step 3: Cross multiply
    29,524.68x = 40,744.31 × 16,096.28
  4. Step 4: Simplify right side
    29,524.68x = 655,831,537.96
  5. Step 5: Solve for x
    x = 655,831,537.96/29,524.68
  6. Step 6: Final answer
    x = 22,212.99

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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.