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Finding the Fourth Proportional to 29,863.40, 41,211.50 and 16,434.65

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Solution

The fourth proportional to 29,863.40, 41,211.50 and 16,434.65 is: 22,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,863.40 : 41,211.50 = 16,434.65 : x
  2. Step 2: Convert to fraction form
    29,863.40/41,211.50 = 16,434.65/x
  3. Step 3: Cross multiply
    29,863.40x = 41,211.50 × 16,434.65
  4. Step 4: Simplify right side
    29,863.40x = 677,296,599.33
  5. Step 5: Solve for x
    x = 677,296,599.33/29,863.40
  6. Step 6: Final answer
    x = 22,679.82

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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.