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Finding the Fourth Proportional to 29,834.64, 41,172.24 and 16,407.28

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Solution

The fourth proportional to 29,834.64, 41,172.24 and 16,407.28 is: 22,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.64 : 41,172.24 = 16,407.28 : x
  2. Step 2: Convert to fraction form
    29,834.64/41,172.24 = 16,407.28/x
  3. Step 3: Cross multiply
    29,834.64x = 41,172.24 × 16,407.28
  4. Step 4: Simplify right side
    29,834.64x = 675,524,469.91
  5. Step 5: Solve for x
    x = 675,524,469.91/29,834.64
  6. Step 6: Final answer
    x = 22,642.29

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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.