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Finding the Fourth Proportional to 29,858.65, 41,205.08 and 16,429.57

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Solution

The fourth proportional to 29,858.65, 41,205.08 and 16,429.57 is: 22,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858.65 : 41,205.08 = 16,429.57 : x
  2. Step 2: Convert to fraction form
    29,858.65/41,205.08 = 16,429.57/x
  3. Step 3: Cross multiply
    29,858.65x = 41,205.08 × 16,429.57
  4. Step 4: Simplify right side
    29,858.65x = 676,981,684.28
  5. Step 5: Solve for x
    x = 676,981,684.28/29,858.65
  6. Step 6: Final answer
    x = 22,672.89

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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.