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Finding the Fourth Proportional to 29,838.57, 41,177.21 and 16,410.03

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Solution

The fourth proportional to 29,838.57, 41,177.21 and 16,410.03 is: 22,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.57 : 41,177.21 = 16,410.03 : x
  2. Step 2: Convert to fraction form
    29,838.57/41,177.21 = 16,410.03/x
  3. Step 3: Cross multiply
    29,838.57x = 41,177.21 × 16,410.03
  4. Step 4: Simplify right side
    29,838.57x = 675,719,169.37
  5. Step 5: Solve for x
    x = 675,719,169.37/29,838.57
  6. Step 6: Final answer
    x = 22,645.83

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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.