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Finding the Fourth Proportional to 29,811.72, 41,140.18 and 16,383

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Solution

The fourth proportional to 29,811.72, 41,140.18 and 16,383 is: 22,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.72 : 41,140.18 = 16,383 : x
  2. Step 2: Convert to fraction form
    29,811.72/41,140.18 = 16,383/x
  3. Step 3: Cross multiply
    29,811.72x = 41,140.18 × 16,383
  4. Step 4: Simplify right side
    29,811.72x = 673,999,568.94
  5. Step 5: Solve for x
    x = 673,999,568.94/29,811.72
  6. Step 6: Final answer
    x = 22,608.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.