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Finding the Fourth Proportional to 29,827.65, 41,162.19 and 16,399.13

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Solution

The fourth proportional to 29,827.65, 41,162.19 and 16,399.13 is: 22,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.65 : 41,162.19 = 16,399.13 : x
  2. Step 2: Convert to fraction form
    29,827.65/41,162.19 = 16,399.13/x
  3. Step 3: Cross multiply
    29,827.65x = 41,162.19 × 16,399.13
  4. Step 4: Simplify right side
    29,827.65x = 675,024,207.80
  5. Step 5: Solve for x
    x = 675,024,207.80/29,827.65
  6. Step 6: Final answer
    x = 22,630.82

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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.