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Finding the Fourth Proportional to 29,696.77, 40,982.03 and 16,269.31

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Solution

The fourth proportional to 29,696.77, 40,982.03 and 16,269.31 is: 22,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.77 : 40,982.03 = 16,269.31 : x
  2. Step 2: Convert to fraction form
    29,696.77/40,982.03 = 16,269.31/x
  3. Step 3: Cross multiply
    29,696.77x = 40,982.03 × 16,269.31
  4. Step 4: Simplify right side
    29,696.77x = 666,749,350.50
  5. Step 5: Solve for x
    x = 666,749,350.50/29,696.77
  6. Step 6: Final answer
    x = 22,451.91

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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.