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Finding the Fourth Proportional to 29,833.57, 41,170.49 and 16,405.69

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Solution

The fourth proportional to 29,833.57, 41,170.49 and 16,405.69 is: 22,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.57 : 41,170.49 = 16,405.69 : x
  2. Step 2: Convert to fraction form
    29,833.57/41,170.49 = 16,405.69/x
  3. Step 3: Cross multiply
    29,833.57x = 41,170.49 × 16,405.69
  4. Step 4: Simplify right side
    29,833.57x = 675,430,296.09
  5. Step 5: Solve for x
    x = 675,430,296.09/29,833.57
  6. Step 6: Final answer
    x = 22,639.94

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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.