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Finding the Fourth Proportional to 29,828.65, 41,162.49 and 16,399.80

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Solution

The fourth proportional to 29,828.65, 41,162.49 and 16,399.80 is: 22,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.65 : 41,162.49 = 16,399.80 : x
  2. Step 2: Convert to fraction form
    29,828.65/41,162.49 = 16,399.80/x
  3. Step 3: Cross multiply
    29,828.65x = 41,162.49 × 16,399.80
  4. Step 4: Simplify right side
    29,828.65x = 675,056,742.49
  5. Step 5: Solve for x
    x = 675,056,742.49/29,828.65
  6. Step 6: Final answer
    x = 22,631.15

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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.