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Finding the Fourth Proportional to 29,146.78, 40,221.39 and 16,400.23

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Solution

The fourth proportional to 29,146.78, 40,221.39 and 16,400.23 is: 22,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146.78 : 40,221.39 = 16,400.23 : x
  2. Step 2: Convert to fraction form
    29,146.78/40,221.39 = 16,400.23/x
  3. Step 3: Cross multiply
    29,146.78x = 40,221.39 × 16,400.23
  4. Step 4: Simplify right side
    29,146.78x = 659,640,046.92
  5. Step 5: Solve for x
    x = 659,640,046.92/29,146.78
  6. Step 6: Final answer
    x = 22,631.66

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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.