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Finding the Fourth Proportional to 29,833.70, 41,170.66 and 16,405.82

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Solution

The fourth proportional to 29,833.70, 41,170.66 and 16,405.82 is: 22,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.70 : 41,170.66 = 16,405.82 : x
  2. Step 2: Convert to fraction form
    29,833.70/41,170.66 = 16,405.82/x
  3. Step 3: Cross multiply
    29,833.70x = 41,170.66 × 16,405.82
  4. Step 4: Simplify right side
    29,833.70x = 675,438,437.24
  5. Step 5: Solve for x
    x = 675,438,437.24/29,833.70
  6. Step 6: Final answer
    x = 22,640.12

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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.