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Finding the Fourth Proportional to 29,834.79, 41,172.29 and 16,406.13

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Solution

The fourth proportional to 29,834.79, 41,172.29 and 16,406.13 is: 22,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.79 : 41,172.29 = 16,406.13 : x
  2. Step 2: Convert to fraction form
    29,834.79/41,172.29 = 16,406.13/x
  3. Step 3: Cross multiply
    29,834.79x = 41,172.29 × 16,406.13
  4. Step 4: Simplify right side
    29,834.79x = 675,477,942.14
  5. Step 5: Solve for x
    x = 675,477,942.14/29,834.79
  6. Step 6: Final answer
    x = 22,640.61

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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.